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Finding the Third Proportional to 22,852,944 and 47,599,776

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Solution

The third proportional to 22,852,944 and 47,599,776 is: 99,144,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852,944 : 47,599,776 = 47,599,776 : x
  2. Step 2: Convert to fraction form
    22,852,944/47,599,776 = 47,599,776/x
  3. Step 3: Cross multiply
    22,852,944x = 47,599,776 × 47,599,776
  4. Step 4: Simplify right side
    22,852,944x = 2,265,738,675,250,176
  5. Step 5: Solve for x
    x = 2,265,738,675,250,176/22,852,944
  6. Step 6: Final answer
    x = 99,144,279.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.