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Finding the Third Proportional to 6,723,113 and 14,700,364

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Solution

The third proportional to 6,723,113 and 14,700,364 is: 32,142,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723,113 : 14,700,364 = 14,700,364 : x
  2. Step 2: Convert to fraction form
    6,723,113/14,700,364 = 14,700,364/x
  3. Step 3: Cross multiply
    6,723,113x = 14,700,364 × 14,700,364
  4. Step 4: Simplify right side
    6,723,113x = 216,100,701,732,496
  5. Step 5: Solve for x
    x = 216,100,701,732,496/6,723,113
  6. Step 6: Final answer
    x = 32,142,952.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.