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Finding the Third Proportional to 56,827,353 and 83,115,261

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Solution

The third proportional to 56,827,353 and 83,115,261 is: 121,563,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827,353 : 83,115,261 = 83,115,261 : x
  2. Step 2: Convert to fraction form
    56,827,353/83,115,261 = 83,115,261/x
  3. Step 3: Cross multiply
    56,827,353x = 83,115,261 × 83,115,261
  4. Step 4: Simplify right side
    56,827,353x = 6,908,146,611,098,121
  5. Step 5: Solve for x
    x = 6,908,146,611,098,121/56,827,353
  6. Step 6: Final answer
    x = 121,563,758.41

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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.