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Finding the Third Proportional to 6,075,864 and 14,342,656

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Solution

The third proportional to 6,075,864 and 14,342,656 is: 33,857,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075,864 : 14,342,656 = 14,342,656 : x
  2. Step 2: Convert to fraction form
    6,075,864/14,342,656 = 14,342,656/x
  3. Step 3: Cross multiply
    6,075,864x = 14,342,656 × 14,342,656
  4. Step 4: Simplify right side
    6,075,864x = 205,711,781,134,336
  5. Step 5: Solve for x
    x = 205,711,781,134,336/6,075,864
  6. Step 6: Final answer
    x = 33,857,206.34

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.