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Finding the Third Proportional to 7,068,957,076 and 10,542,134,442

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Solution

The third proportional to 7,068,957,076 and 10,542,134,442 is: 15,721,781,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068,957,076 : 10,542,134,442 = 10,542,134,442 : x
  2. Step 2: Convert to fraction form
    7,068,957,076/10,542,134,442 = 10,542,134,442/x
  3. Step 3: Cross multiply
    7,068,957,076x = 10,542,134,442 × 10,542,134,442
  4. Step 4: Simplify right side
    7,068,957,076x = 111,136,598,593,202,651,136
  5. Step 5: Solve for x
    x = 111,136,598,593,202,651,136/7,068,957,076
  6. Step 6: Final answer
    x = 15,721,781,501.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.