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Finding the Third Proportional to 6,489,948 and 10,088,906

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Solution

The third proportional to 6,489,948 and 10,088,906 is: 15,683,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,948 : 10,088,906 = 10,088,906 : x
  2. Step 2: Convert to fraction form
    6,489,948/10,088,906 = 10,088,906/x
  3. Step 3: Cross multiply
    6,489,948x = 10,088,906 × 10,088,906
  4. Step 4: Simplify right side
    6,489,948x = 101,786,024,276,836
  5. Step 5: Solve for x
    x = 101,786,024,276,836/6,489,948
  6. Step 6: Final answer
    x = 15,683,642.50

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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.