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Finding the Third Proportional to 6,461,523 and 14,096,574

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Solution

The third proportional to 6,461,523 and 14,096,574 is: 30,753,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,523 : 14,096,574 = 14,096,574 : x
  2. Step 2: Convert to fraction form
    6,461,523/14,096,574 = 14,096,574/x
  3. Step 3: Cross multiply
    6,461,523x = 14,096,574 × 14,096,574
  4. Step 4: Simplify right side
    6,461,523x = 198,713,398,537,476
  5. Step 5: Solve for x
    x = 198,713,398,537,476/6,461,523
  6. Step 6: Final answer
    x = 30,753,337.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.