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Finding the Third Proportional to 5,301,856 and 8,159,454

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Solution

The third proportional to 5,301,856 and 8,159,454 is: 12,557,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,856 : 8,159,454 = 8,159,454 : x
  2. Step 2: Convert to fraction form
    5,301,856/8,159,454 = 8,159,454/x
  3. Step 3: Cross multiply
    5,301,856x = 8,159,454 × 8,159,454
  4. Step 4: Simplify right side
    5,301,856x = 66,576,689,578,116
  5. Step 5: Solve for x
    x = 66,576,689,578,116/5,301,856
  6. Step 6: Final answer
    x = 12,557,242.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.