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Finding the Third Proportional to 29,116,451 and 45,671,165

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Solution

The third proportional to 29,116,451 and 45,671,165 is: 71,638,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116,451 : 45,671,165 = 45,671,165 : x
  2. Step 2: Convert to fraction form
    29,116,451/45,671,165 = 45,671,165/x
  3. Step 3: Cross multiply
    29,116,451x = 45,671,165 × 45,671,165
  4. Step 4: Simplify right side
    29,116,451x = 2,085,855,312,457,225
  5. Step 5: Solve for x
    x = 2,085,855,312,457,225/29,116,451
  6. Step 6: Final answer
    x = 71,638,377.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.