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Finding the Third Proportional to 873,065,863,278 and 1,910,717,837,082

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Solution

The third proportional to 873,065,863,278 and 1,910,717,837,082 is: 4,181,634,864,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,065,863,278 : 1,910,717,837,082 = 1,910,717,837,082 : x
  2. Step 2: Convert to fraction form
    873,065,863,278/1,910,717,837,082 = 1,910,717,837,082/x
  3. Step 3: Cross multiply
    873,065,863,278x = 1,910,717,837,082 × 1,910,717,837,082
  4. Step 4: Simplify right side
    873,065,863,278x = 3,650,842,652,943,316,053,655,552
  5. Step 5: Solve for x
    x = 3,650,842,652,943,316,053,655,552/873,065,863,278
  6. Step 6: Final answer
    x = 4,181,634,864,563.27

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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.