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Finding the Third Proportional to 1,303,284,248,496 and 2,805,750,900,287

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Solution

The third proportional to 1,303,284,248,496 and 2,805,750,900,287 is: 6,040,307,878,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,284,248,496 : 2,805,750,900,287 = 2,805,750,900,287 : x
  2. Step 2: Convert to fraction form
    1,303,284,248,496/2,805,750,900,287 = 2,805,750,900,287/x
  3. Step 3: Cross multiply
    1,303,284,248,496x = 2,805,750,900,287 × 2,805,750,900,287
  4. Step 4: Simplify right side
    1,303,284,248,496x = 7,872,238,114,461,310,771,003,392
  5. Step 5: Solve for x
    x = 7,872,238,114,461,310,771,003,392/1,303,284,248,496
  6. Step 6: Final answer
    x = 6,040,307,878,765.46

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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.