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Finding the Third Proportional to 732,585,987 and 1,571,518,791

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Solution

The third proportional to 732,585,987 and 1,571,518,791 is: 3,371,169,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,585,987 : 1,571,518,791 = 1,571,518,791 : x
  2. Step 2: Convert to fraction form
    732,585,987/1,571,518,791 = 1,571,518,791/x
  3. Step 3: Cross multiply
    732,585,987x = 1,571,518,791 × 1,571,518,791
  4. Step 4: Simplify right side
    732,585,987x = 2,469,671,310,466,101,760
  5. Step 5: Solve for x
    x = 2,469,671,310,466,101,760/732,585,987
  6. Step 6: Final answer
    x = 3,371,169,192.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.