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Finding the Third Proportional to 36,834,426 and 61,386,970.50

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Solution

The third proportional to 36,834,426 and 61,386,970.50 is: 102,305,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834,426 : 61,386,970.50 = 61,386,970.50 : x
  2. Step 2: Convert to fraction form
    36,834,426/61,386,970.50 = 61,386,970.50/x
  3. Step 3: Cross multiply
    36,834,426x = 61,386,970.50 × 61,386,970.50
  4. Step 4: Simplify right side
    36,834,426x = 3,768,360,147,167,870
  5. Step 5: Solve for x
    x = 3,768,360,147,167,870/36,834,426
  6. Step 6: Final answer
    x = 102,305,385.38

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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.