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Finding the Third Proportional to 4,566,840 and 10,037,664

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Solution

The third proportional to 4,566,840 and 10,037,664 is: 22,062,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566,840 : 10,037,664 = 10,037,664 : x
  2. Step 2: Convert to fraction form
    4,566,840/10,037,664 = 10,037,664/x
  3. Step 3: Cross multiply
    4,566,840x = 10,037,664 × 10,037,664
  4. Step 4: Simplify right side
    4,566,840x = 100,754,698,576,896
  5. Step 5: Solve for x
    x = 100,754,698,576,896/4,566,840
  6. Step 6: Final answer
    x = 22,062,235.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.