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Finding the Third Proportional to 459,051,741 and 996,041,585.25

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Solution

The third proportional to 459,051,741 and 996,041,585.25 is: 2,161,191,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051,741 : 996,041,585.25 = 996,041,585.25 : x
  2. Step 2: Convert to fraction form
    459,051,741/996,041,585.25 = 996,041,585.25/x
  3. Step 3: Cross multiply
    459,051,741x = 996,041,585.25 × 996,041,585.25
  4. Step 4: Simplify right side
    459,051,741x = 992,098,839,547,332,992
  5. Step 5: Solve for x
    x = 992,098,839,547,332,992/459,051,741
  6. Step 6: Final answer
    x = 2,161,191,758.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.