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Finding the Third Proportional to 873,065,863,263 and 1,910,717,837,052

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Solution

The third proportional to 873,065,863,263 and 1,910,717,837,052 is: 4,181,634,864,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,065,863,263 : 1,910,717,837,052 = 1,910,717,837,052 : x
  2. Step 2: Convert to fraction form
    873,065,863,263/1,910,717,837,052 = 1,910,717,837,052/x
  3. Step 3: Cross multiply
    873,065,863,263x = 1,910,717,837,052 × 1,910,717,837,052
  4. Step 4: Simplify right side
    873,065,863,263x = 3,650,842,652,828,673,175,977,984
  5. Step 5: Solve for x
    x = 3,650,842,652,828,673,175,977,984/873,065,863,263
  6. Step 6: Final answer
    x = 4,181,634,864,503.81

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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.