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Finding the Third Proportional to 10,432,303 and 22,407,169

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Solution

The third proportional to 10,432,303 and 22,407,169 is: 48,127,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,303 : 22,407,169 = 22,407,169 : x
  2. Step 2: Convert to fraction form
    10,432,303/22,407,169 = 22,407,169/x
  3. Step 3: Cross multiply
    10,432,303x = 22,407,169 × 22,407,169
  4. Step 4: Simplify right side
    10,432,303x = 502,081,222,594,561
  5. Step 5: Solve for x
    x = 502,081,222,594,561/10,432,303
  6. Step 6: Final answer
    x = 48,127,553.68

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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.