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Finding the Third Proportional to 6,543,946 and 13,997,685

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Solution

The third proportional to 6,543,946 and 13,997,685 is: 29,941,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,946 : 13,997,685 = 13,997,685 : x
  2. Step 2: Convert to fraction form
    6,543,946/13,997,685 = 13,997,685/x
  3. Step 3: Cross multiply
    6,543,946x = 13,997,685 × 13,997,685
  4. Step 4: Simplify right side
    6,543,946x = 195,935,185,359,225
  5. Step 5: Solve for x
    x = 195,935,185,359,225/6,543,946
  6. Step 6: Final answer
    x = 29,941,442.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.