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Finding the Third Proportional to 413,265,888,258 and 641,657,189,778

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Solution

The third proportional to 413,265,888,258 and 641,657,189,778 is: 996,268,893,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,265,888,258 : 641,657,189,778 = 641,657,189,778 : x
  2. Step 2: Convert to fraction form
    413,265,888,258/641,657,189,778 = 641,657,189,778/x
  3. Step 3: Cross multiply
    413,265,888,258x = 641,657,189,778 × 641,657,189,778
  4. Step 4: Simplify right side
    413,265,888,258x = 411,723,949,193,800,296,955,904
  5. Step 5: Solve for x
    x = 411,723,949,193,800,296,955,904/413,265,888,258
  6. Step 6: Final answer
    x = 996,268,893,446.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.