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Finding the Third Proportional to 9,691,863,637.50 and 21,081,830,715

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Solution

The third proportional to 9,691,863,637.50 and 21,081,830,715 is: 45,857,391,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,863,637.50 : 21,081,830,715 = 21,081,830,715 : x
  2. Step 2: Convert to fraction form
    9,691,863,637.50/21,081,830,715 = 21,081,830,715/x
  3. Step 3: Cross multiply
    9,691,863,637.50x = 21,081,830,715 × 21,081,830,715
  4. Step 4: Simplify right side
    9,691,863,637.50x = 444,443,586,295,917,379,584
  5. Step 5: Solve for x
    x = 444,443,586,295,917,379,584/9,691,863,637.50
  6. Step 6: Final answer
    x = 45,857,391,614.16

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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.