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Finding the Third Proportional to 3,130,503.61 and 4,720,390.97

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Solution

The third proportional to 3,130,503.61 and 4,720,390.97 is: 7,117,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,503.61 : 4,720,390.97 = 4,720,390.97 : x
  2. Step 2: Convert to fraction form
    3,130,503.61/4,720,390.97 = 4,720,390.97/x
  3. Step 3: Cross multiply
    3,130,503.61x = 4,720,390.97 × 4,720,390.97
  4. Step 4: Simplify right side
    3,130,503.61x = 22,282,090,897,856.56
  5. Step 5: Solve for x
    x = 22,282,090,897,856.56/3,130,503.61
  6. Step 6: Final answer
    x = 7,117,733.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.