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Finding the Third Proportional to 10,411,154,696 and 15,860,678,772

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Solution

The third proportional to 10,411,154,696 and 15,860,678,772 is: 24,162,654,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411,154,696 : 15,860,678,772 = 15,860,678,772 : x
  2. Step 2: Convert to fraction form
    10,411,154,696/15,860,678,772 = 15,860,678,772/x
  3. Step 3: Cross multiply
    10,411,154,696x = 15,860,678,772 × 15,860,678,772
  4. Step 4: Simplify right side
    10,411,154,696x = 251,561,131,108,571,414,528
  5. Step 5: Solve for x
    x = 251,561,131,108,571,414,528/10,411,154,696
  6. Step 6: Final answer
    x = 24,162,654,235.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.