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Finding the Third Proportional to 2,087,305,652 and 4,473,402,802

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Solution

The third proportional to 2,087,305,652 and 4,473,402,802 is: 9,587,159,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,305,652 : 4,473,402,802 = 4,473,402,802 : x
  2. Step 2: Convert to fraction form
    2,087,305,652/4,473,402,802 = 4,473,402,802/x
  3. Step 3: Cross multiply
    2,087,305,652x = 4,473,402,802 × 4,473,402,802
  4. Step 4: Simplify right side
    2,087,305,652x = 20,011,332,628,941,451,264
  5. Step 5: Solve for x
    x = 20,011,332,628,941,451,264/2,087,305,652
  6. Step 6: Final answer
    x = 9,587,159,700.24

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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.