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Finding the Third Proportional to 9,752,721,814 and 21,368,675,708

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Solution

The third proportional to 9,752,721,814 and 21,368,675,708 is: 46,819,781,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752,721,814 : 21,368,675,708 = 21,368,675,708 : x
  2. Step 2: Convert to fraction form
    9,752,721,814/21,368,675,708 = 21,368,675,708/x
  3. Step 3: Cross multiply
    9,752,721,814x = 21,368,675,708 × 21,368,675,708
  4. Step 4: Simplify right side
    9,752,721,814x = 456,620,301,513,669,279,744
  5. Step 5: Solve for x
    x = 456,620,301,513,669,279,744/9,752,721,814
  6. Step 6: Final answer
    x = 46,819,781,207.97

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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.