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Finding the Third Proportional to 1,125,771,873,259.50 and 1,585,334,872,050.80

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Solution

The third proportional to 1,125,771,873,259.50 and 1,585,334,872,050.80 is: 2,232,500,843,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,771,873,259.50 : 1,585,334,872,050.80 = 1,585,334,872,050.80 : x
  2. Step 2: Convert to fraction form
    1,125,771,873,259.50/1,585,334,872,050.80 = 1,585,334,872,050.80/x
  3. Step 3: Cross multiply
    1,125,771,873,259.50x = 1,585,334,872,050.80 × 1,585,334,872,050.80
  4. Step 4: Simplify right side
    1,125,771,873,259.50x = 2,513,286,656,540,326,766,837,760
  5. Step 5: Solve for x
    x = 2,513,286,656,540,326,766,837,760/1,125,771,873,259.50
  6. Step 6: Final answer
    x = 2,232,500,843,411.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.