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Finding the Third Proportional to 34,778,904.19 and 47,233,140.19

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Solution

The third proportional to 34,778,904.19 and 47,233,140.19 is: 64,147,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778,904.19 : 47,233,140.19 = 47,233,140.19 : x
  2. Step 2: Convert to fraction form
    34,778,904.19/47,233,140.19 = 47,233,140.19/x
  3. Step 3: Cross multiply
    34,778,904.19x = 47,233,140.19 × 47,233,140.19
  4. Step 4: Simplify right side
    34,778,904.19x = 2,230,969,531,972,027.50
  5. Step 5: Solve for x
    x = 2,230,969,531,972,027.50/34,778,904.19
  6. Step 6: Final answer
    x = 64,147,206.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.