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Finding the Third Proportional to 1,303,284,248,494 and 2,805,750,900,283

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Solution

The third proportional to 1,303,284,248,494 and 2,805,750,900,283 is: 6,040,307,878,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,284,248,494 : 2,805,750,900,283 = 2,805,750,900,283 : x
  2. Step 2: Convert to fraction form
    1,303,284,248,494/2,805,750,900,283 = 2,805,750,900,283/x
  3. Step 3: Cross multiply
    1,303,284,248,494x = 2,805,750,900,283 × 2,805,750,900,283
  4. Step 4: Simplify right side
    1,303,284,248,494x = 7,872,238,114,438,865,271,914,496
  5. Step 5: Solve for x
    x = 7,872,238,114,438,865,271,914,496/1,303,284,248,494
  6. Step 6: Final answer
    x = 6,040,307,878,757.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.