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Finding the Third Proportional to 4,564,100 and 9,889,272

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Solution

The third proportional to 4,564,100 and 9,889,272 is: 21,427,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564,100 : 9,889,272 = 9,889,272 : x
  2. Step 2: Convert to fraction form
    4,564,100/9,889,272 = 9,889,272/x
  3. Step 3: Cross multiply
    4,564,100x = 9,889,272 × 9,889,272
  4. Step 4: Simplify right side
    4,564,100x = 97,797,700,689,984
  5. Step 5: Solve for x
    x = 97,797,700,689,984/4,564,100
  6. Step 6: Final answer
    x = 21,427,598.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.