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Finding the Third Proportional to 6,684,012 and 9,744,354

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Solution

The third proportional to 6,684,012 and 9,744,354 is: 14,205,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,012 : 9,744,354 = 9,744,354 : x
  2. Step 2: Convert to fraction form
    6,684,012/9,744,354 = 9,744,354/x
  3. Step 3: Cross multiply
    6,684,012x = 9,744,354 × 9,744,354
  4. Step 4: Simplify right side
    6,684,012x = 94,952,434,877,316
  5. Step 5: Solve for x
    x = 94,952,434,877,316/6,684,012
  6. Step 6: Final answer
    x = 14,205,904.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.