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Finding the Third Proportional to 1,878,646,723 and 3,709,873,413

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Solution

The third proportional to 1,878,646,723 and 3,709,873,413 is: 7,326,103,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,646,723 : 3,709,873,413 = 3,709,873,413 : x
  2. Step 2: Convert to fraction form
    1,878,646,723/3,709,873,413 = 3,709,873,413/x
  3. Step 3: Cross multiply
    1,878,646,723x = 3,709,873,413 × 3,709,873,413
  4. Step 4: Simplify right side
    1,878,646,723x = 13,763,160,740,484,268,032
  5. Step 5: Solve for x
    x = 13,763,160,740,484,268,032/1,878,646,723
  6. Step 6: Final answer
    x = 7,326,103,717.10

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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.