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Finding the Third Proportional to 581,088,843,203 and 1,258,870,672,120

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Solution

The third proportional to 581,088,843,203 and 1,258,870,672,120 is: 2,727,216,995,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,088,843,203 : 1,258,870,672,120 = 1,258,870,672,120 : x
  2. Step 2: Convert to fraction form
    581,088,843,203/1,258,870,672,120 = 1,258,870,672,120/x
  3. Step 3: Cross multiply
    581,088,843,203x = 1,258,870,672,120 × 1,258,870,672,120
  4. Step 4: Simplify right side
    581,088,843,203x = 1,584,755,369,123,860,480,786,432
  5. Step 5: Solve for x
    x = 1,584,755,369,123,860,480,786,432/581,088,843,203
  6. Step 6: Final answer
    x = 2,727,216,995,577.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.