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Finding the Third Proportional to 2,153,973,239 and 4,716,554,074

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Solution

The third proportional to 2,153,973,239 and 4,716,554,074 is: 10,327,835,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,973,239 : 4,716,554,074 = 4,716,554,074 : x
  2. Step 2: Convert to fraction form
    2,153,973,239/4,716,554,074 = 4,716,554,074/x
  3. Step 3: Cross multiply
    2,153,973,239x = 4,716,554,074 × 4,716,554,074
  4. Step 4: Simplify right side
    2,153,973,239x = 22,245,882,332,965,998,592
  5. Step 5: Solve for x
    x = 22,245,882,332,965,998,592/2,153,973,239
  6. Step 6: Final answer
    x = 10,327,835,987.09

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Why These Related Problems?

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