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Finding the Third Proportional to 45,521,742.50 and 68,284,070.50

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Solution

The third proportional to 45,521,742.50 and 68,284,070.50 is: 102,428,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,521,742.50 : 68,284,070.50 = 68,284,070.50 : x
  2. Step 2: Convert to fraction form
    45,521,742.50/68,284,070.50 = 68,284,070.50/x
  3. Step 3: Cross multiply
    45,521,742.50x = 68,284,070.50 × 68,284,070.50
  4. Step 4: Simplify right side
    45,521,742.50x = 4,662,714,284,048,970
  5. Step 5: Solve for x
    x = 4,662,714,284,048,970/45,521,742.50
  6. Step 6: Final answer
    x = 102,428,290.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.