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Finding the Third Proportional to 9,489,705.75 and 19,652,323.50

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Solution

The third proportional to 9,489,705.75 and 19,652,323.50 is: 40,698,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489,705.75 : 19,652,323.50 = 19,652,323.50 : x
  2. Step 2: Convert to fraction form
    9,489,705.75/19,652,323.50 = 19,652,323.50/x
  3. Step 3: Cross multiply
    9,489,705.75x = 19,652,323.50 × 19,652,323.50
  4. Step 4: Simplify right side
    9,489,705.75x = 386,213,818,948,652.25
  5. Step 5: Solve for x
    x = 386,213,818,948,652.25/9,489,705.75
  6. Step 6: Final answer
    x = 40,698,186.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.