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Finding the Third Proportional to 700,242,432 and 1,620,934,476

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Solution

The third proportional to 700,242,432 and 1,620,934,476 is: 3,752,169,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,242,432 : 1,620,934,476 = 1,620,934,476 : x
  2. Step 2: Convert to fraction form
    700,242,432/1,620,934,476 = 1,620,934,476/x
  3. Step 3: Cross multiply
    700,242,432x = 1,620,934,476 × 1,620,934,476
  4. Step 4: Simplify right side
    700,242,432x = 2,627,428,575,485,394,432
  5. Step 5: Solve for x
    x = 2,627,428,575,485,394,432/700,242,432
  6. Step 6: Final answer
    x = 3,752,169,899.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.