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Finding the Third Proportional to 1,306,053,383 and 2,841,680,530

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Solution

The third proportional to 1,306,053,383 and 2,841,680,530 is: 6,182,862,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,053,383 : 2,841,680,530 = 2,841,680,530 : x
  2. Step 2: Convert to fraction form
    1,306,053,383/2,841,680,530 = 2,841,680,530/x
  3. Step 3: Cross multiply
    1,306,053,383x = 2,841,680,530 × 2,841,680,530
  4. Step 4: Simplify right side
    1,306,053,383x = 8,075,148,234,581,081,088
  5. Step 5: Solve for x
    x = 8,075,148,234,581,081,088/1,306,053,383
  6. Step 6: Final answer
    x = 6,182,862,308.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.