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Finding the Third Proportional to 29,974,269,863,484 and 40,442,328,019,494

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Solution

The third proportional to 29,974,269,863,484 and 40,442,328,019,494 is: 54,566,196,377,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974,269,863,484 : 40,442,328,019,494 = 40,442,328,019,494 : x
  2. Step 2: Convert to fraction form
    29,974,269,863,484/40,442,328,019,494 = 40,442,328,019,494/x
  3. Step 3: Cross multiply
    29,974,269,863,484x = 40,442,328,019,494 × 40,442,328,019,494
  4. Step 4: Simplify right side
    29,974,269,863,484x = 1,635,581,895,636,349,416,663,678,976
  5. Step 5: Solve for x
    x = 1,635,581,895,636,349,416,663,678,976/29,974,269,863,484
  6. Step 6: Final answer
    x = 54,566,196,377,276.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.