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Finding the Third Proportional to 69,413,712,432 and 97,749,803,082

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Solution

The third proportional to 69,413,712,432 and 97,749,803,082 is: 137,653,262,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413,712,432 : 97,749,803,082 = 97,749,803,082 : x
  2. Step 2: Convert to fraction form
    69,413,712,432/97,749,803,082 = 97,749,803,082/x
  3. Step 3: Cross multiply
    69,413,712,432x = 97,749,803,082 × 97,749,803,082
  4. Step 4: Simplify right side
    69,413,712,432x = 9,555,024,002,569,776,136,192
  5. Step 5: Solve for x
    x = 9,555,024,002,569,776,136,192/69,413,712,432
  6. Step 6: Final answer
    x = 137,653,262,846.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.