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Finding the Third Proportional to 4,690,639.13 and 6,994,967.63

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Solution

The third proportional to 4,690,639.13 and 6,994,967.63 is: 10,431,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,639.13 : 6,994,967.63 = 6,994,967.63 : x
  2. Step 2: Convert to fraction form
    4,690,639.13/6,994,967.63 = 6,994,967.63/x
  3. Step 3: Cross multiply
    4,690,639.13x = 6,994,967.63 × 6,994,967.63
  4. Step 4: Simplify right side
    4,690,639.13x = 48,929,572,074,798.14
  5. Step 5: Solve for x
    x = 48,929,572,074,798.14/4,690,639.13
  6. Step 6: Final answer
    x = 10,431,323.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.