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Finding the Third Proportional to 3,711,129.70 and 5,746,263.48

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Solution

The third proportional to 3,711,129.70 and 5,746,263.48 is: 8,897,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711,129.70 : 5,746,263.48 = 5,746,263.48 : x
  2. Step 2: Convert to fraction form
    3,711,129.70/5,746,263.48 = 5,746,263.48/x
  3. Step 3: Cross multiply
    3,711,129.70x = 5,746,263.48 × 5,746,263.48
  4. Step 4: Simplify right side
    3,711,129.70x = 33,019,543,953,298.60
  5. Step 5: Solve for x
    x = 33,019,543,953,298.60/3,711,129.70
  6. Step 6: Final answer
    x = 8,897,437.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.