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Finding the Third Proportional to 23,209,744,448 and 34,839,182,514

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Solution

The third proportional to 23,209,744,448 and 34,839,182,514 is: 52,295,648,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209,744,448 : 34,839,182,514 = 34,839,182,514 : x
  2. Step 2: Convert to fraction form
    23,209,744,448/34,839,182,514 = 34,839,182,514/x
  3. Step 3: Cross multiply
    23,209,744,448x = 34,839,182,514 × 34,839,182,514
  4. Step 4: Simplify right side
    23,209,744,448x = 1,213,768,638,243,803,234,304
  5. Step 5: Solve for x
    x = 1,213,768,638,243,803,234,304/23,209,744,448
  6. Step 6: Final answer
    x = 52,295,648,535.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.