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Finding the Third Proportional to 64,706,977.50 and 91,015,294.50

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Solution

The third proportional to 64,706,977.50 and 91,015,294.50 is: 128,019,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,706,977.50 : 91,015,294.50 = 91,015,294.50 : x
  2. Step 2: Convert to fraction form
    64,706,977.50/91,015,294.50 = 91,015,294.50/x
  3. Step 3: Cross multiply
    64,706,977.50x = 91,015,294.50 × 91,015,294.50
  4. Step 4: Simplify right side
    64,706,977.50x = 8,283,783,832,921,730
  5. Step 5: Solve for x
    x = 8,283,783,832,921,730/64,706,977.50
  6. Step 6: Final answer
    x = 128,019,947.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.