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Finding the Third Proportional to 19,429,199.50 and 41,884,967

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Solution

The third proportional to 19,429,199.50 and 41,884,967 is: 90,294,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429,199.50 : 41,884,967 = 41,884,967 : x
  2. Step 2: Convert to fraction form
    19,429,199.50/41,884,967 = 41,884,967/x
  3. Step 3: Cross multiply
    19,429,199.50x = 41,884,967 × 41,884,967
  4. Step 4: Simplify right side
    19,429,199.50x = 1,754,350,460,591,089
  5. Step 5: Solve for x
    x = 1,754,350,460,591,089/19,429,199.50
  6. Step 6: Final answer
    x = 90,294,531.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.