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Finding the Third Proportional to 1,268,878,464 and 1,939,796,451

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Solution

The third proportional to 1,268,878,464 and 1,939,796,451 is: 2,965,461,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,878,464 : 1,939,796,451 = 1,939,796,451 : x
  2. Step 2: Convert to fraction form
    1,268,878,464/1,939,796,451 = 1,939,796,451/x
  3. Step 3: Cross multiply
    1,268,878,464x = 1,939,796,451 × 1,939,796,451
  4. Step 4: Simplify right side
    1,268,878,464x = 3,762,810,271,312,195,584
  5. Step 5: Solve for x
    x = 3,762,810,271,312,195,584/1,268,878,464
  6. Step 6: Final answer
    x = 2,965,461,530.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.