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Finding the Third Proportional to 9,870,027.75 and 15,343,285.50

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Solution

The third proportional to 9,870,027.75 and 15,343,285.50 is: 23,851,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,027.75 : 15,343,285.50 = 15,343,285.50 : x
  2. Step 2: Convert to fraction form
    9,870,027.75/15,343,285.50 = 15,343,285.50/x
  3. Step 3: Cross multiply
    9,870,027.75x = 15,343,285.50 × 15,343,285.50
  4. Step 4: Simplify right side
    9,870,027.75x = 235,416,409,934,510.25
  5. Step 5: Solve for x
    x = 235,416,409,934,510.25/9,870,027.75
  6. Step 6: Final answer
    x = 23,851,646.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.