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Finding the Third Proportional to 7,720,513.50 and 10,292,808

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Solution

The third proportional to 7,720,513.50 and 10,292,808 is: 13,722,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720,513.50 : 10,292,808 = 10,292,808 : x
  2. Step 2: Convert to fraction form
    7,720,513.50/10,292,808 = 10,292,808/x
  3. Step 3: Cross multiply
    7,720,513.50x = 10,292,808 × 10,292,808
  4. Step 4: Simplify right side
    7,720,513.50x = 105,941,896,524,864
  5. Step 5: Solve for x
    x = 105,941,896,524,864/7,720,513.50
  6. Step 6: Final answer
    x = 13,722,130.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.