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Finding the Third Proportional to 4,730,421 and 10,376,457

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Solution

The third proportional to 4,730,421 and 10,376,457 is: 22,761,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,421 : 10,376,457 = 10,376,457 : x
  2. Step 2: Convert to fraction form
    4,730,421/10,376,457 = 10,376,457/x
  3. Step 3: Cross multiply
    4,730,421x = 10,376,457 × 10,376,457
  4. Step 4: Simplify right side
    4,730,421x = 107,670,859,872,849
  5. Step 5: Solve for x
    x = 107,670,859,872,849/4,730,421
  6. Step 6: Final answer
    x = 22,761,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.