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Finding the Third Proportional to 918,864,384 and 2,016,263,784

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Solution

The third proportional to 918,864,384 and 2,016,263,784 is: 4,424,286,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,864,384 : 2,016,263,784 = 2,016,263,784 : x
  2. Step 2: Convert to fraction form
    918,864,384/2,016,263,784 = 2,016,263,784/x
  3. Step 3: Cross multiply
    918,864,384x = 2,016,263,784 × 2,016,263,784
  4. Step 4: Simplify right side
    918,864,384x = 4,065,319,646,669,998,592
  5. Step 5: Solve for x
    x = 4,065,319,646,669,998,592/918,864,384
  6. Step 6: Final answer
    x = 4,424,286,888.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.