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Finding the Third Proportional to 10,432,312 and 22,407,184

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Solution

The third proportional to 10,432,312 and 22,407,184 is: 48,127,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,312 : 22,407,184 = 22,407,184 : x
  2. Step 2: Convert to fraction form
    10,432,312/22,407,184 = 22,407,184/x
  3. Step 3: Cross multiply
    10,432,312x = 22,407,184 × 22,407,184
  4. Step 4: Simplify right side
    10,432,312x = 502,081,894,809,856
  5. Step 5: Solve for x
    x = 502,081,894,809,856/10,432,312
  6. Step 6: Final answer
    x = 48,127,576.59

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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.