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Finding the Third Proportional to 6,866,286,220 and 14,830,253,768

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Solution

The third proportional to 6,866,286,220 and 14,830,253,768 is: 32,031,351,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866,286,220 : 14,830,253,768 = 14,830,253,768 : x
  2. Step 2: Convert to fraction form
    6,866,286,220/14,830,253,768 = 14,830,253,768/x
  3. Step 3: Cross multiply
    6,866,286,220x = 14,830,253,768 × 14,830,253,768
  4. Step 4: Simplify right side
    6,866,286,220x = 219,936,426,823,278,198,784
  5. Step 5: Solve for x
    x = 219,936,426,823,278,198,784/6,866,286,220
  6. Step 6: Final answer
    x = 32,031,351,414.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.