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Finding the Third Proportional to 8,249,242.50 and 12,121,265.25

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Solution

The third proportional to 8,249,242.50 and 12,121,265.25 is: 17,810,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249,242.50 : 12,121,265.25 = 12,121,265.25 : x
  2. Step 2: Convert to fraction form
    8,249,242.50/12,121,265.25 = 12,121,265.25/x
  3. Step 3: Cross multiply
    8,249,242.50x = 12,121,265.25 × 12,121,265.25
  4. Step 4: Simplify right side
    8,249,242.50x = 146,925,071,260,857.56
  5. Step 5: Solve for x
    x = 146,925,071,260,857.56/8,249,242.50
  6. Step 6: Final answer
    x = 17,810,734.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.