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Finding the Third Proportional to 5,746,264 and 12,364,329

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Solution

The third proportional to 5,746,264 and 12,364,329 is: 26,604,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,264 : 12,364,329 = 12,364,329 : x
  2. Step 2: Convert to fraction form
    5,746,264/12,364,329 = 12,364,329/x
  3. Step 3: Cross multiply
    5,746,264x = 12,364,329 × 12,364,329
  4. Step 4: Simplify right side
    5,746,264x = 152,876,631,620,241
  5. Step 5: Solve for x
    x = 152,876,631,620,241/5,746,264
  6. Step 6: Final answer
    x = 26,604,526.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.