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Finding the Third Proportional to 32,142,430.13 and 48,503,422.69

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Solution

The third proportional to 32,142,430.13 and 48,503,422.69 is: 73,192,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142,430.13 : 48,503,422.69 = 48,503,422.69 : x
  2. Step 2: Convert to fraction form
    32,142,430.13/48,503,422.69 = 48,503,422.69/x
  3. Step 3: Cross multiply
    32,142,430.13x = 48,503,422.69 × 48,503,422.69
  4. Step 4: Simplify right side
    32,142,430.13x = 2,352,582,012,402,289.50
  5. Step 5: Solve for x
    x = 2,352,582,012,402,289.50/32,142,430.13
  6. Step 6: Final answer
    x = 73,192,412.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.