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Finding the Third Proportional to 6,246,501.05 and 9,448,498.76

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Solution

The third proportional to 6,246,501.05 and 9,448,498.76 is: 14,291,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246,501.05 : 9,448,498.76 = 9,448,498.76 : x
  2. Step 2: Convert to fraction form
    6,246,501.05/9,448,498.76 = 9,448,498.76/x
  3. Step 3: Cross multiply
    6,246,501.05x = 9,448,498.76 × 9,448,498.76
  4. Step 4: Simplify right side
    6,246,501.05x = 89,274,128,776,384.36
  5. Step 5: Solve for x
    x = 89,274,128,776,384.36/6,246,501.05
  6. Step 6: Final answer
    x = 14,291,861.65

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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.