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Finding the Third Proportional to 4,531,010 and 6,862,320

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Solution

The third proportional to 4,531,010 and 6,862,320 is: 10,393,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,010 : 6,862,320 = 6,862,320 : x
  2. Step 2: Convert to fraction form
    4,531,010/6,862,320 = 6,862,320/x
  3. Step 3: Cross multiply
    4,531,010x = 6,862,320 × 6,862,320
  4. Step 4: Simplify right side
    4,531,010x = 47,091,435,782,400
  5. Step 5: Solve for x
    x = 47,091,435,782,400/4,531,010
  6. Step 6: Final answer
    x = 10,393,143.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.