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Finding the Third Proportional to 16,791,497,592 and 36,746,145,264

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Solution

The third proportional to 16,791,497,592 and 36,746,145,264 is: 80,414,458,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791,497,592 : 36,746,145,264 = 36,746,145,264 : x
  2. Step 2: Convert to fraction form
    16,791,497,592/36,746,145,264 = 36,746,145,264/x
  3. Step 3: Cross multiply
    16,791,497,592x = 36,746,145,264 × 36,746,145,264
  4. Step 4: Simplify right side
    16,791,497,592x = 1,350,279,191,762,989,744,128
  5. Step 5: Solve for x
    x = 1,350,279,191,762,989,744,128/16,791,497,592
  6. Step 6: Final answer
    x = 80,414,458,827.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.