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Finding the Third Proportional to 10,511,424 and 22,663,584

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Solution

The third proportional to 10,511,424 and 22,663,584 is: 48,864,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511,424 : 22,663,584 = 22,663,584 : x
  2. Step 2: Convert to fraction form
    10,511,424/22,663,584 = 22,663,584/x
  3. Step 3: Cross multiply
    10,511,424x = 22,663,584 × 22,663,584
  4. Step 4: Simplify right side
    10,511,424x = 513,638,039,725,056
  5. Step 5: Solve for x
    x = 513,638,039,725,056/10,511,424
  6. Step 6: Final answer
    x = 48,864,743.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.