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Finding the Third Proportional to 4,148,654 and 6,508,011

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Solution

The third proportional to 4,148,654 and 6,508,011 is: 10,209,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148,654 : 6,508,011 = 6,508,011 : x
  2. Step 2: Convert to fraction form
    4,148,654/6,508,011 = 6,508,011/x
  3. Step 3: Cross multiply
    4,148,654x = 6,508,011 × 6,508,011
  4. Step 4: Simplify right side
    4,148,654x = 42,354,207,176,121
  5. Step 5: Solve for x
    x = 42,354,207,176,121/4,148,654
  6. Step 6: Final answer
    x = 10,209,144.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.