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Finding the Third Proportional to 18,439,475,769 and 39,675,637,566

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Solution

The third proportional to 18,439,475,769 and 39,675,637,566 is: 85,368,816,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,439,475,769 : 39,675,637,566 = 39,675,637,566 : x
  2. Step 2: Convert to fraction form
    18,439,475,769/39,675,637,566 = 39,675,637,566/x
  3. Step 3: Cross multiply
    18,439,475,769x = 39,675,637,566 × 39,675,637,566
  4. Step 4: Simplify right side
    18,439,475,769x = 1,574,156,216,268,590,415,872
  5. Step 5: Solve for x
    x = 1,574,156,216,268,590,415,872/18,439,475,769
  6. Step 6: Final answer
    x = 85,368,816,119.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.