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Finding the Third Proportional to 9,870,537.75 and 21,301,708.88

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Solution

The third proportional to 9,870,537.75 and 21,301,708.88 is: 45,971,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,537.75 : 21,301,708.88 = 21,301,708.88 : x
  2. Step 2: Convert to fraction form
    9,870,537.75/21,301,708.88 = 21,301,708.88/x
  3. Step 3: Cross multiply
    9,870,537.75x = 21,301,708.88 × 21,301,708.88
  4. Step 4: Simplify right side
    9,870,537.75x = 453,762,800,995,253.75
  5. Step 5: Solve for x
    x = 453,762,800,995,253.75/9,870,537.75
  6. Step 6: Final answer
    x = 45,971,436.66

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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.