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Finding the Third Proportional to 10,247,466 and 22,014,492

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Solution

The third proportional to 10,247,466 and 22,014,492 is: 47,293,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247,466 : 22,014,492 = 22,014,492 : x
  2. Step 2: Convert to fraction form
    10,247,466/22,014,492 = 22,014,492/x
  3. Step 3: Cross multiply
    10,247,466x = 22,014,492 × 22,014,492
  4. Step 4: Simplify right side
    10,247,466x = 484,637,858,018,064
  5. Step 5: Solve for x
    x = 484,637,858,018,064/10,247,466
  6. Step 6: Final answer
    x = 47,293,434.11

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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.