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Finding the Third Proportional to 6,076,071 and 13,195,317

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Solution

The third proportional to 6,076,071 and 13,195,317 is: 28,656,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076,071 : 13,195,317 = 13,195,317 : x
  2. Step 2: Convert to fraction form
    6,076,071/13,195,317 = 13,195,317/x
  3. Step 3: Cross multiply
    6,076,071x = 13,195,317 × 13,195,317
  4. Step 4: Simplify right side
    6,076,071x = 174,116,390,730,489
  5. Step 5: Solve for x
    x = 174,116,390,730,489/6,076,071
  6. Step 6: Final answer
    x = 28,656,082.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.