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Finding the Third Proportional to 20,660,710.50 and 45,041,513.06

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Solution

The third proportional to 20,660,710.50 and 45,041,513.06 is: 98,193,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660,710.50 : 45,041,513.06 = 45,041,513.06 : x
  2. Step 2: Convert to fraction form
    20,660,710.50/45,041,513.06 = 45,041,513.06/x
  3. Step 3: Cross multiply
    20,660,710.50x = 45,041,513.06 × 45,041,513.06
  4. Step 4: Simplify right side
    20,660,710.50x = 2,028,737,898,959,358.25
  5. Step 5: Solve for x
    x = 2,028,737,898,959,358.25/20,660,710.50
  6. Step 6: Final answer
    x = 98,193,036.44

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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.