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Finding the Third Proportional to 2,087,305,614 and 4,473,402,723

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Solution

The third proportional to 2,087,305,614 and 4,473,402,723 is: 9,587,159,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,305,614 : 4,473,402,723 = 4,473,402,723 : x
  2. Step 2: Convert to fraction form
    2,087,305,614/4,473,402,723 = 4,473,402,723/x
  3. Step 3: Cross multiply
    2,087,305,614x = 4,473,402,723 × 4,473,402,723
  4. Step 4: Simplify right side
    2,087,305,614x = 20,011,331,922,143,813,632
  5. Step 5: Solve for x
    x = 20,011,331,922,143,813,632/2,087,305,614
  6. Step 6: Final answer
    x = 9,587,159,536.16

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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.