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Finding the Third Proportional to 1,688,334,624 and 3,720,155,580

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Solution

The third proportional to 1,688,334,624 and 3,720,155,580 is: 8,197,165,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,334,624 : 3,720,155,580 = 3,720,155,580 : x
  2. Step 2: Convert to fraction form
    1,688,334,624/3,720,155,580 = 3,720,155,580/x
  3. Step 3: Cross multiply
    1,688,334,624x = 3,720,155,580 × 3,720,155,580
  4. Step 4: Simplify right side
    1,688,334,624x = 13,839,557,539,405,135,872
  5. Step 5: Solve for x
    x = 13,839,557,539,405,135,872/1,688,334,624
  6. Step 6: Final answer
    x = 8,197,165,030.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.