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Finding the Third Proportional to 61,346,181 and 89,646,543

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Solution

The third proportional to 61,346,181 and 89,646,543 is: 131,002,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,346,181 : 89,646,543 = 89,646,543 : x
  2. Step 2: Convert to fraction form
    61,346,181/89,646,543 = 89,646,543/x
  3. Step 3: Cross multiply
    61,346,181x = 89,646,543 × 89,646,543
  4. Step 4: Simplify right side
    61,346,181x = 8,036,502,671,850,849
  5. Step 5: Solve for x
    x = 8,036,502,671,850,849/61,346,181
  6. Step 6: Final answer
    x = 131,002,493.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.