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Finding the Third Proportional to 4,531,014 and 6,862,326

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Solution

The third proportional to 4,531,014 and 6,862,326 is: 10,393,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,014 : 6,862,326 = 6,862,326 : x
  2. Step 2: Convert to fraction form
    4,531,014/6,862,326 = 6,862,326/x
  3. Step 3: Cross multiply
    4,531,014x = 6,862,326 × 6,862,326
  4. Step 4: Simplify right side
    4,531,014x = 47,091,518,130,276
  5. Step 5: Solve for x
    x = 47,091,518,130,276/4,531,014
  6. Step 6: Final answer
    x = 10,393,152.20

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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.