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Finding the Third Proportional to 5,044,798,680 and 11,786,926,470

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Solution

The third proportional to 5,044,798,680 and 11,786,926,470 is: 27,539,579,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044,798,680 : 11,786,926,470 = 11,786,926,470 : x
  2. Step 2: Convert to fraction form
    5,044,798,680/11,786,926,470 = 11,786,926,470/x
  3. Step 3: Cross multiply
    5,044,798,680x = 11,786,926,470 × 11,786,926,470
  4. Step 4: Simplify right side
    5,044,798,680x = 138,931,635,609,186,664,448
  5. Step 5: Solve for x
    x = 138,931,635,609,186,664,448/5,044,798,680
  6. Step 6: Final answer
    x = 27,539,579,757.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.