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Finding the Third Proportional to 8,059,595,856 and 17,439,350,214

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Solution

The third proportional to 8,059,595,856 and 17,439,350,214 is: 37,735,258,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059,595,856 : 17,439,350,214 = 17,439,350,214 : x
  2. Step 2: Convert to fraction form
    8,059,595,856/17,439,350,214 = 17,439,350,214/x
  3. Step 3: Cross multiply
    8,059,595,856x = 17,439,350,214 × 17,439,350,214
  4. Step 4: Simplify right side
    8,059,595,856x = 304,130,935,886,541,815,808
  5. Step 5: Solve for x
    x = 304,130,935,886,541,815,808/8,059,595,856
  6. Step 6: Final answer
    x = 37,735,258,854.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.