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Finding the Third Proportional to 30,156,646.50 and 65,843,599.50

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Solution

The third proportional to 30,156,646.50 and 65,843,599.50 is: 143,761,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156,646.50 : 65,843,599.50 = 65,843,599.50 : x
  2. Step 2: Convert to fraction form
    30,156,646.50/65,843,599.50 = 65,843,599.50/x
  3. Step 3: Cross multiply
    30,156,646.50x = 65,843,599.50 × 65,843,599.50
  4. Step 4: Simplify right side
    30,156,646.50x = 4,335,379,595,116,400
  5. Step 5: Solve for x
    x = 4,335,379,595,116,400/30,156,646.50
  6. Step 6: Final answer
    x = 143,761,992.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.