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Finding the Third Proportional to 4,748,439 and 7,357,229

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Solution

The third proportional to 4,748,439 and 7,357,229 is: 11,399,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748,439 : 7,357,229 = 7,357,229 : x
  2. Step 2: Convert to fraction form
    4,748,439/7,357,229 = 7,357,229/x
  3. Step 3: Cross multiply
    4,748,439x = 7,357,229 × 7,357,229
  4. Step 4: Simplify right side
    4,748,439x = 54,128,818,558,441
  5. Step 5: Solve for x
    x = 54,128,818,558,441/4,748,439
  6. Step 6: Final answer
    x = 11,399,286.91

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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.