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Finding the Third Proportional to 2,071,568,584 and 4,438,617,944

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Solution

The third proportional to 2,071,568,584 and 4,438,617,944 is: 9,510,343,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,568,584 : 4,438,617,944 = 4,438,617,944 : x
  2. Step 2: Convert to fraction form
    2,071,568,584/4,438,617,944 = 4,438,617,944/x
  3. Step 3: Cross multiply
    2,071,568,584x = 4,438,617,944 × 4,438,617,944
  4. Step 4: Simplify right side
    2,071,568,584x = 19,701,329,252,798,787,584
  5. Step 5: Solve for x
    x = 19,701,329,252,798,787,584/2,071,568,584
  6. Step 6: Final answer
    x = 9,510,343,710.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.