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Finding the Third Proportional to 22,773,499,641,074 and 34,693,073,706,548

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Solution

The third proportional to 22,773,499,641,074 and 34,693,073,706,548 is: 52,851,313,244,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773,499,641,074 : 34,693,073,706,548 = 34,693,073,706,548 : x
  2. Step 2: Convert to fraction form
    22,773,499,641,074/34,693,073,706,548 = 34,693,073,706,548/x
  3. Step 3: Cross multiply
    22,773,499,641,074x = 34,693,073,706,548 × 34,693,073,706,548
  4. Step 4: Simplify right side
    22,773,499,641,074x = 1,203,609,363,207,972,209,788,190,720
  5. Step 5: Solve for x
    x = 1,203,609,363,207,972,209,788,190,720/22,773,499,641,074
  6. Step 6: Final answer
    x = 52,851,313,244,678.36

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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.