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Finding the Third Proportional to 7,813,684 and 16,748,764

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Solution

The third proportional to 7,813,684 and 16,748,764 is: 35,901,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,684 : 16,748,764 = 16,748,764 : x
  2. Step 2: Convert to fraction form
    7,813,684/16,748,764 = 16,748,764/x
  3. Step 3: Cross multiply
    7,813,684x = 16,748,764 × 16,748,764
  4. Step 4: Simplify right side
    7,813,684x = 280,521,095,527,696
  5. Step 5: Solve for x
    x = 280,521,095,527,696/7,813,684
  6. Step 6: Final answer
    x = 35,901,259.32

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Why These Related Problems?

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