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Finding the Third Proportional to 4,535,560 and 9,868,272

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Solution

The third proportional to 4,535,560 and 9,868,272 is: 21,470,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,560 : 9,868,272 = 9,868,272 : x
  2. Step 2: Convert to fraction form
    4,535,560/9,868,272 = 9,868,272/x
  3. Step 3: Cross multiply
    4,535,560x = 9,868,272 × 9,868,272
  4. Step 4: Simplify right side
    4,535,560x = 97,382,792,265,984
  5. Step 5: Solve for x
    x = 97,382,792,265,984/4,535,560
  6. Step 6: Final answer
    x = 21,470,952.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.