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Finding the Third Proportional to 6,720,894 and 14,748,156

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Solution

The third proportional to 6,720,894 and 14,748,156 is: 32,362,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720,894 : 14,748,156 = 14,748,156 : x
  2. Step 2: Convert to fraction form
    6,720,894/14,748,156 = 14,748,156/x
  3. Step 3: Cross multiply
    6,720,894x = 14,748,156 × 14,748,156
  4. Step 4: Simplify right side
    6,720,894x = 217,508,105,400,336
  5. Step 5: Solve for x
    x = 217,508,105,400,336/6,720,894
  6. Step 6: Final answer
    x = 32,362,972.16

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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.