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Finding the Third Proportional to 1,129,518,304 and 1,650,930,024

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Solution

The third proportional to 1,129,518,304 and 1,650,930,024 is: 2,413,037,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,518,304 : 1,650,930,024 = 1,650,930,024 : x
  2. Step 2: Convert to fraction form
    1,129,518,304/1,650,930,024 = 1,650,930,024/x
  3. Step 3: Cross multiply
    1,129,518,304x = 1,650,930,024 × 1,650,930,024
  4. Step 4: Simplify right side
    1,129,518,304x = 2,725,569,944,144,640,512
  5. Step 5: Solve for x
    x = 2,725,569,944,144,640,512/1,129,518,304
  6. Step 6: Final answer
    x = 2,413,037,428.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.