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Finding the Third Proportional to 6,442,164 and 13,893,060

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Solution

The third proportional to 6,442,164 and 13,893,060 is: 29,961,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,164 : 13,893,060 = 13,893,060 : x
  2. Step 2: Convert to fraction form
    6,442,164/13,893,060 = 13,893,060/x
  3. Step 3: Cross multiply
    6,442,164x = 13,893,060 × 13,893,060
  4. Step 4: Simplify right side
    6,442,164x = 193,017,116,163,600
  5. Step 5: Solve for x
    x = 193,017,116,163,600/6,442,164
  6. Step 6: Final answer
    x = 29,961,534.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.