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Finding the Third Proportional to 36,834,261 and 61,386,735.28

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Solution

The third proportional to 36,834,261 and 61,386,735.28 is: 102,305,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834,261 : 61,386,735.28 = 61,386,735.28 : x
  2. Step 2: Convert to fraction form
    36,834,261/61,386,735.28 = 61,386,735.28/x
  3. Step 3: Cross multiply
    36,834,261x = 61,386,735.28 × 61,386,735.28
  4. Step 4: Simplify right side
    36,834,261x = 3,768,331,268,490,263.50
  5. Step 5: Solve for x
    x = 3,768,331,268,490,263.50/36,834,261
  6. Step 6: Final answer
    x = 102,305,059.64

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.