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Finding the Third Proportional to 197,377,733 and 427,704,808

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Solution

The third proportional to 197,377,733 and 427,704,808 is: 926,808,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,377,733 : 427,704,808 = 427,704,808 : x
  2. Step 2: Convert to fraction form
    197,377,733/427,704,808 = 427,704,808/x
  3. Step 3: Cross multiply
    197,377,733x = 427,704,808 × 427,704,808
  4. Step 4: Simplify right side
    197,377,733x = 182,931,402,786,316,864
  5. Step 5: Solve for x
    x = 182,931,402,786,316,864/197,377,733
  6. Step 6: Final answer
    x = 926,808,713.45

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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.