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Finding the Third Proportional to 10,778,154 and 23,283,498

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Solution

The third proportional to 10,778,154 and 23,283,498 is: 50,298,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,154 : 23,283,498 = 23,283,498 : x
  2. Step 2: Convert to fraction form
    10,778,154/23,283,498 = 23,283,498/x
  3. Step 3: Cross multiply
    10,778,154x = 23,283,498 × 23,283,498
  4. Step 4: Simplify right side
    10,778,154x = 542,121,279,116,004
  5. Step 5: Solve for x
    x = 542,121,279,116,004/10,778,154
  6. Step 6: Final answer
    x = 50,298,156.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.