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Finding the Third Proportional to 4,684,312.13 and 6,987,476.81

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Solution

The third proportional to 4,684,312.13 and 6,987,476.81 is: 10,423,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684,312.13 : 6,987,476.81 = 6,987,476.81 : x
  2. Step 2: Convert to fraction form
    4,684,312.13/6,987,476.81 = 6,987,476.81/x
  3. Step 3: Cross multiply
    4,684,312.13x = 6,987,476.81 × 6,987,476.81
  4. Step 4: Simplify right side
    4,684,312.13x = 48,824,832,205,225.16
  5. Step 5: Solve for x
    x = 48,824,832,205,225.16/4,684,312.13
  6. Step 6: Final answer
    x = 10,423,052.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.