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Finding the Third Proportional to 2,072,277,471 and 4,507,639,863

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Solution

The third proportional to 2,072,277,471 and 4,507,639,863 is: 9,805,065,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,277,471 : 4,507,639,863 = 4,507,639,863 : x
  2. Step 2: Convert to fraction form
    2,072,277,471/4,507,639,863 = 4,507,639,863/x
  3. Step 3: Cross multiply
    2,072,277,471x = 4,507,639,863 × 4,507,639,863
  4. Step 4: Simplify right side
    2,072,277,471x = 20,318,817,134,506,659,840
  5. Step 5: Solve for x
    x = 20,318,817,134,506,659,840/2,072,277,471
  6. Step 6: Final answer
    x = 9,805,065,884.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.