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Finding the Third Proportional to 974,480,952 and 2,104,287,792

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Solution

The third proportional to 974,480,952 and 2,104,287,792 is: 4,543,985,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,480,952 : 2,104,287,792 = 2,104,287,792 : x
  2. Step 2: Convert to fraction form
    974,480,952/2,104,287,792 = 2,104,287,792/x
  3. Step 3: Cross multiply
    974,480,952x = 2,104,287,792 × 2,104,287,792
  4. Step 4: Simplify right side
    974,480,952x = 4,428,027,111,560,235,008
  5. Step 5: Solve for x
    x = 4,428,027,111,560,235,008/974,480,952
  6. Step 6: Final answer
    x = 4,543,985,290.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.