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Finding the Third Proportional to 10,895,387,743,260 and 24,011,602,506,720

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Solution

The third proportional to 10,895,387,743,260 and 24,011,602,506,720 is: 52,917,534,329,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895,387,743,260 : 24,011,602,506,720 = 24,011,602,506,720 : x
  2. Step 2: Convert to fraction form
    10,895,387,743,260/24,011,602,506,720 = 24,011,602,506,720/x
  3. Step 3: Cross multiply
    10,895,387,743,260x = 24,011,602,506,720 × 24,011,602,506,720
  4. Step 4: Simplify right side
    10,895,387,743,260x = 576,557,054,940,722,198,850,043,904
  5. Step 5: Solve for x
    x = 576,557,054,940,722,198,850,043,904/10,895,387,743,260
  6. Step 6: Final answer
    x = 52,917,534,329,825.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.