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Finding the Third Proportional to 77,713,197 and 168,538,587

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Solution

The third proportional to 77,713,197 and 168,538,587 is: 365,513,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713,197 : 168,538,587 = 168,538,587 : x
  2. Step 2: Convert to fraction form
    77,713,197/168,538,587 = 168,538,587/x
  3. Step 3: Cross multiply
    77,713,197x = 168,538,587 × 168,538,587
  4. Step 4: Simplify right side
    77,713,197x = 28,405,255,307,956,568
  5. Step 5: Solve for x
    x = 28,405,255,307,956,568/77,713,197
  6. Step 6: Final answer
    x = 365,513,920.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.