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Finding the Third Proportional to 873,065,863,257.75 and 1,910,717,837,039.20

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Solution

The third proportional to 873,065,863,257.75 and 1,910,717,837,039.20 is: 4,181,634,864,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,065,863,257.75 : 1,910,717,837,039.20 = 1,910,717,837,039.20 : x
  2. Step 2: Convert to fraction form
    873,065,863,257.75/1,910,717,837,039.20 = 1,910,717,837,039.20/x
  3. Step 3: Cross multiply
    873,065,863,257.75x = 1,910,717,837,039.20 × 1,910,717,837,039.20
  4. Step 4: Simplify right side
    873,065,863,257.75x = 3,650,842,652,779,758,867,185,664
  5. Step 5: Solve for x
    x = 3,650,842,652,779,758,867,185,664/873,065,863,257.75
  6. Step 6: Final answer
    x = 4,181,634,864,472.93

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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.