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Finding the Third Proportional to 1,277,813,926 and 1,962,878,657

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Solution

The third proportional to 1,277,813,926 and 1,962,878,657 is: 3,015,221,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,813,926 : 1,962,878,657 = 1,962,878,657 : x
  2. Step 2: Convert to fraction form
    1,277,813,926/1,962,878,657 = 1,962,878,657/x
  3. Step 3: Cross multiply
    1,277,813,926x = 1,962,878,657 × 1,962,878,657
  4. Step 4: Simplify right side
    1,277,813,926x = 3,852,892,622,106,123,776
  5. Step 5: Solve for x
    x = 3,852,892,622,106,123,776/1,277,813,926
  6. Step 6: Final answer
    x = 3,015,221,969.11

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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.