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Finding the Third Proportional to 10,302,408 and 22,376,208

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Solution

The third proportional to 10,302,408 and 22,376,208 is: 48,599,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302,408 : 22,376,208 = 22,376,208 : x
  2. Step 2: Convert to fraction form
    10,302,408/22,376,208 = 22,376,208/x
  3. Step 3: Cross multiply
    10,302,408x = 22,376,208 × 22,376,208
  4. Step 4: Simplify right side
    10,302,408x = 500,694,684,459,264
  5. Step 5: Solve for x
    x = 500,694,684,459,264/10,302,408
  6. Step 6: Final answer
    x = 48,599,772.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.