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Finding the Third Proportional to 10,432,296 and 22,407,160

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Solution

The third proportional to 10,432,296 and 22,407,160 is: 48,127,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,296 : 22,407,160 = 22,407,160 : x
  2. Step 2: Convert to fraction form
    10,432,296/22,407,160 = 22,407,160/x
  3. Step 3: Cross multiply
    10,432,296x = 22,407,160 × 22,407,160
  4. Step 4: Simplify right side
    10,432,296x = 502,080,819,265,600
  5. Step 5: Solve for x
    x = 502,080,819,265,600/10,432,296
  6. Step 6: Final answer
    x = 48,127,547.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.