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Finding the Third Proportional to 10,600,034 and 22,878,532

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Solution

The third proportional to 10,600,034 and 22,878,532 is: 49,379,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,034 : 22,878,532 = 22,878,532 : x
  2. Step 2: Convert to fraction form
    10,600,034/22,878,532 = 22,878,532/x
  3. Step 3: Cross multiply
    10,600,034x = 22,878,532 × 22,878,532
  4. Step 4: Simplify right side
    10,600,034x = 523,427,226,475,024
  5. Step 5: Solve for x
    x = 523,427,226,475,024/10,600,034
  6. Step 6: Final answer
    x = 49,379,768.64

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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.