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Finding the Third Proportional to 7,863,053,856 and 17,207,155,776

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Solution

The third proportional to 7,863,053,856 and 17,207,155,776 is: 37,655,370,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863,053,856 : 17,207,155,776 = 17,207,155,776 : x
  2. Step 2: Convert to fraction form
    7,863,053,856/17,207,155,776 = 17,207,155,776/x
  3. Step 3: Cross multiply
    7,863,053,856x = 17,207,155,776 × 17,207,155,776
  4. Step 4: Simplify right side
    7,863,053,856x = 296,086,209,899,530,158,080
  5. Step 5: Solve for x
    x = 296,086,209,899,530,158,080/7,863,053,856
  6. Step 6: Final answer
    x = 37,655,370,969.33

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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.