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Finding the Third Proportional to 4,157,584 and 8,889,712

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Solution

The third proportional to 4,157,584 and 8,889,712 is: 19,007,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,584 : 8,889,712 = 8,889,712 : x
  2. Step 2: Convert to fraction form
    4,157,584/8,889,712 = 8,889,712/x
  3. Step 3: Cross multiply
    4,157,584x = 8,889,712 × 8,889,712
  4. Step 4: Simplify right side
    4,157,584x = 79,026,979,442,944
  5. Step 5: Solve for x
    x = 79,026,979,442,944/4,157,584
  6. Step 6: Final answer
    x = 19,007,909.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.