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Finding the Third Proportional to 24,629,181,440 and 53,774,535,376

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Solution

The third proportional to 24,629,181,440 and 53,774,535,376 is: 117,409,531,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629,181,440 : 53,774,535,376 = 53,774,535,376 : x
  2. Step 2: Convert to fraction form
    24,629,181,440/53,774,535,376 = 53,774,535,376/x
  3. Step 3: Cross multiply
    24,629,181,440x = 53,774,535,376 × 53,774,535,376
  4. Step 4: Simplify right side
    24,629,181,440x = 2,891,700,654,904,675,663,872
  5. Step 5: Solve for x
    x = 2,891,700,654,904,675,663,872/24,629,181,440
  6. Step 6: Final answer
    x = 117,409,531,532.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.