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Finding the Third Proportional to 3,488,538,527 and 5,362,133,831

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Solution

The third proportional to 3,488,538,527 and 5,362,133,831 is: 8,241,984,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488,538,527 : 5,362,133,831 = 5,362,133,831 : x
  2. Step 2: Convert to fraction form
    3,488,538,527/5,362,133,831 = 5,362,133,831/x
  3. Step 3: Cross multiply
    3,488,538,527x = 5,362,133,831 × 5,362,133,831
  4. Step 4: Simplify right side
    3,488,538,527x = 28,752,479,221,554,737,152
  5. Step 5: Solve for x
    x = 28,752,479,221,554,737,152/3,488,538,527
  6. Step 6: Final answer
    x = 8,241,984,142.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.