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Finding the Third Proportional to 5,924,070,468 and 12,338,472,765

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Solution

The third proportional to 5,924,070,468 and 12,338,472,765 is: 25,698,193,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924,070,468 : 12,338,472,765 = 12,338,472,765 : x
  2. Step 2: Convert to fraction form
    5,924,070,468/12,338,472,765 = 12,338,472,765/x
  3. Step 3: Cross multiply
    5,924,070,468x = 12,338,472,765 × 12,338,472,765
  4. Step 4: Simplify right side
    5,924,070,468x = 152,237,910,172,646,735,872
  5. Step 5: Solve for x
    x = 152,237,910,172,646,735,872/5,924,070,468
  6. Step 6: Final answer
    x = 25,698,193,665.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.