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Finding the Third Proportional to 873,065,863,265 and 1,910,717,837,056

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Solution

The third proportional to 873,065,863,265 and 1,910,717,837,056 is: 4,181,634,864,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,065,863,265 : 1,910,717,837,056 = 1,910,717,837,056 : x
  2. Step 2: Convert to fraction form
    873,065,863,265/1,910,717,837,056 = 1,910,717,837,056/x
  3. Step 3: Cross multiply
    873,065,863,265x = 1,910,717,837,056 × 1,910,717,837,056
  4. Step 4: Simplify right side
    873,065,863,265x = 3,650,842,652,843,958,964,584,448
  5. Step 5: Solve for x
    x = 3,650,842,652,843,958,964,584,448/873,065,863,265
  6. Step 6: Final answer
    x = 4,181,634,864,511.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.