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Finding the Third Proportional to 587,055,910.50 and 1,258,146,877.50

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Solution

The third proportional to 587,055,910.50 and 1,258,146,877.50 is: 2,696,393,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,055,910.50 : 1,258,146,877.50 = 1,258,146,877.50 : x
  2. Step 2: Convert to fraction form
    587,055,910.50/1,258,146,877.50 = 1,258,146,877.50/x
  3. Step 3: Cross multiply
    587,055,910.50x = 1,258,146,877.50 × 1,258,146,877.50
  4. Step 4: Simplify right side
    587,055,910.50x = 1,582,933,565,363,000,064
  5. Step 5: Solve for x
    x = 1,582,933,565,363,000,064/587,055,910.50
  6. Step 6: Final answer
    x = 2,696,393,200.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.