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Finding the Third Proportional to 1,878,646,725 and 3,709,873,414.50

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Solution

The third proportional to 1,878,646,725 and 3,709,873,414.50 is: 7,326,103,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,646,725 : 3,709,873,414.50 = 3,709,873,414.50 : x
  2. Step 2: Convert to fraction form
    1,878,646,725/3,709,873,414.50 = 3,709,873,414.50/x
  3. Step 3: Cross multiply
    1,878,646,725x = 3,709,873,414.50 × 3,709,873,414.50
  4. Step 4: Simplify right side
    1,878,646,725x = 13,763,160,751,613,888,512
  5. Step 5: Solve for x
    x = 13,763,160,751,613,888,512/1,878,646,725
  6. Step 6: Final answer
    x = 7,326,103,715.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.