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Finding the Third Proportional to 7,773,057,042 and 16,784,715,700

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Solution

The third proportional to 7,773,057,042 and 16,784,715,700 is: 36,244,000,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,057,042 : 16,784,715,700 = 16,784,715,700 : x
  2. Step 2: Convert to fraction form
    7,773,057,042/16,784,715,700 = 16,784,715,700/x
  3. Step 3: Cross multiply
    7,773,057,042x = 16,784,715,700 × 16,784,715,700
  4. Step 4: Simplify right side
    7,773,057,042x = 281,726,681,129,826,484,224
  5. Step 5: Solve for x
    x = 281,726,681,129,826,484,224/7,773,057,042
  6. Step 6: Final answer
    x = 36,244,000,218.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.