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Finding the Third Proportional to 9,947,261 and 15,817,628

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Solution

The third proportional to 9,947,261 and 15,817,628 is: 25,152,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,261 : 15,817,628 = 15,817,628 : x
  2. Step 2: Convert to fraction form
    9,947,261/15,817,628 = 15,817,628/x
  3. Step 3: Cross multiply
    9,947,261x = 15,817,628 × 15,817,628
  4. Step 4: Simplify right side
    9,947,261x = 250,197,355,546,384
  5. Step 5: Solve for x
    x = 250,197,355,546,384/9,947,261
  6. Step 6: Final answer
    x = 25,152,386.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.