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Finding the Third Proportional to 4,891,457 and 10,625,746

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Solution

The third proportional to 4,891,457 and 10,625,746 is: 23,082,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891,457 : 10,625,746 = 10,625,746 : x
  2. Step 2: Convert to fraction form
    4,891,457/10,625,746 = 10,625,746/x
  3. Step 3: Cross multiply
    4,891,457x = 10,625,746 × 10,625,746
  4. Step 4: Simplify right side
    4,891,457x = 112,906,478,056,516
  5. Step 5: Solve for x
    x = 112,906,478,056,516/4,891,457
  6. Step 6: Final answer
    x = 23,082,381.80

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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.