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Finding the Third Proportional to 9,295,570.13 and 13,943,355.19

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Solution

The third proportional to 9,295,570.13 and 13,943,355.19 is: 20,915,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295,570.13 : 13,943,355.19 = 13,943,355.19 : x
  2. Step 2: Convert to fraction form
    9,295,570.13/13,943,355.19 = 13,943,355.19/x
  3. Step 3: Cross multiply
    9,295,570.13x = 13,943,355.19 × 13,943,355.19
  4. Step 4: Simplify right side
    9,295,570.13x = 194,417,153,884,783.16
  5. Step 5: Solve for x
    x = 194,417,153,884,783.16/9,295,570.13
  6. Step 6: Final answer
    x = 20,915,032.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.