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Finding the Third Proportional to 1,653,206,832 and 3,569,402,942

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Solution

The third proportional to 1,653,206,832 and 3,569,402,942 is: 7,706,620,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,206,832 : 3,569,402,942 = 3,569,402,942 : x
  2. Step 2: Convert to fraction form
    1,653,206,832/3,569,402,942 = 3,569,402,942/x
  3. Step 3: Cross multiply
    1,653,206,832x = 3,569,402,942 × 3,569,402,942
  4. Step 4: Simplify right side
    1,653,206,832x = 12,740,637,362,358,255,616
  5. Step 5: Solve for x
    x = 12,740,637,362,358,255,616/1,653,206,832
  6. Step 6: Final answer
    x = 7,706,620,318.61

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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.