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Finding the Third Proportional to 9,870,531.75 and 21,301,696.88

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Solution

The third proportional to 9,870,531.75 and 21,301,696.88 is: 45,971,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,531.75 : 21,301,696.88 = 21,301,696.88 : x
  2. Step 2: Convert to fraction form
    9,870,531.75/21,301,696.88 = 21,301,696.88/x
  3. Step 3: Cross multiply
    9,870,531.75x = 21,301,696.88 × 21,301,696.88
  4. Step 4: Simplify right side
    9,870,531.75x = 453,762,289,754,384.75
  5. Step 5: Solve for x
    x = 453,762,289,754,384.75/9,870,531.75
  6. Step 6: Final answer
    x = 45,971,412.81

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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.