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Finding the Third Proportional to 11,627,786,562 and 25,506,737,732

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Solution

The third proportional to 11,627,786,562 and 25,506,737,732 is: 55,951,635,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627,786,562 : 25,506,737,732 = 25,506,737,732 : x
  2. Step 2: Convert to fraction form
    11,627,786,562/25,506,737,732 = 25,506,737,732/x
  3. Step 3: Cross multiply
    11,627,786,562x = 25,506,737,732 × 25,506,737,732
  4. Step 4: Simplify right side
    11,627,786,562x = 650,593,669,729,032,470,528
  5. Step 5: Solve for x
    x = 650,593,669,729,032,470,528/11,627,786,562
  6. Step 6: Final answer
    x = 55,951,635,013.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.