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Finding the Third Proportional to 2,910,910,484 and 4,752,752,331

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Solution

The third proportional to 2,910,910,484 and 4,752,752,331 is: 7,759,996,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,910,484 : 4,752,752,331 = 4,752,752,331 : x
  2. Step 2: Convert to fraction form
    2,910,910,484/4,752,752,331 = 4,752,752,331/x
  3. Step 3: Cross multiply
    2,910,910,484x = 4,752,752,331 × 4,752,752,331
  4. Step 4: Simplify right side
    2,910,910,484x = 22,588,654,719,825,932,288
  5. Step 5: Solve for x
    x = 22,588,654,719,825,932,288/2,910,910,484
  6. Step 6: Final answer
    x = 7,759,996,346.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.