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Finding the Third Proportional to 2,087,305,616 and 4,473,402,727

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Solution

The third proportional to 2,087,305,616 and 4,473,402,727 is: 9,587,159,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,305,616 : 4,473,402,727 = 4,473,402,727 : x
  2. Step 2: Convert to fraction form
    2,087,305,616/4,473,402,727 = 4,473,402,727/x
  3. Step 3: Cross multiply
    2,087,305,616x = 4,473,402,727 × 4,473,402,727
  4. Step 4: Simplify right side
    2,087,305,616x = 20,011,331,957,931,036,672
  5. Step 5: Solve for x
    x = 20,011,331,957,931,036,672/2,087,305,616
  6. Step 6: Final answer
    x = 9,587,159,544.12

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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.