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Finding the Third Proportional to 1,277,813,888 and 1,962,878,592

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Solution

The third proportional to 1,277,813,888 and 1,962,878,592 is: 3,015,221,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,813,888 : 1,962,878,592 = 1,962,878,592 : x
  2. Step 2: Convert to fraction form
    1,277,813,888/1,962,878,592 = 1,962,878,592/x
  3. Step 3: Cross multiply
    1,277,813,888x = 1,962,878,592 × 1,962,878,592
  4. Step 4: Simplify right side
    1,277,813,888x = 3,852,892,366,931,902,464
  5. Step 5: Solve for x
    x = 3,852,892,366,931,902,464/1,277,813,888
  6. Step 6: Final answer
    x = 3,015,221,859.08

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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.