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Finding the Third Proportional to 9,564,280.13 and 20,493,030.41

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Solution

The third proportional to 9,564,280.13 and 20,493,030.41 is: 43,909,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564,280.13 : 20,493,030.41 = 20,493,030.41 : x
  2. Step 2: Convert to fraction form
    9,564,280.13/20,493,030.41 = 20,493,030.41/x
  3. Step 3: Cross multiply
    9,564,280.13x = 20,493,030.41 × 20,493,030.41
  4. Step 4: Simplify right side
    9,564,280.13x = 419,964,295,571,671.31
  5. Step 5: Solve for x
    x = 419,964,295,571,671.31/9,564,280.13
  6. Step 6: Final answer
    x = 43,909,660.72

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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.