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Finding the Third Proportional to 3,705,783.75 and 8,030,130.75

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Solution

The third proportional to 3,705,783.75 and 8,030,130.75 is: 17,400,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705,783.75 : 8,030,130.75 = 8,030,130.75 : x
  2. Step 2: Convert to fraction form
    3,705,783.75/8,030,130.75 = 8,030,130.75/x
  3. Step 3: Cross multiply
    3,705,783.75x = 8,030,130.75 × 8,030,130.75
  4. Step 4: Simplify right side
    3,705,783.75x = 64,482,999,862,095.56
  5. Step 5: Solve for x
    x = 64,482,999,862,095.56/3,705,783.75
  6. Step 6: Final answer
    x = 17,400,637.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.