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Finding the Third Proportional to 2,964,145,632 and 6,311,658,432

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Solution

The third proportional to 2,964,145,632 and 6,311,658,432 is: 13,439,633,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,145,632 : 6,311,658,432 = 6,311,658,432 : x
  2. Step 2: Convert to fraction form
    2,964,145,632/6,311,658,432 = 6,311,658,432/x
  3. Step 3: Cross multiply
    2,964,145,632x = 6,311,658,432 × 6,311,658,432
  4. Step 4: Simplify right side
    2,964,145,632x = 39,837,032,162,236,694,528
  5. Step 5: Solve for x
    x = 39,837,032,162,236,694,528/2,964,145,632
  6. Step 6: Final answer
    x = 13,439,633,914.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.