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Finding the Third Proportional to 2,805,340,890 and 6,098,980,560

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Solution

The third proportional to 2,805,340,890 and 6,098,980,560 is: 13,259,552,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,340,890 : 6,098,980,560 = 6,098,980,560 : x
  2. Step 2: Convert to fraction form
    2,805,340,890/6,098,980,560 = 6,098,980,560/x
  3. Step 3: Cross multiply
    2,805,340,890x = 6,098,980,560 × 6,098,980,560
  4. Step 4: Simplify right side
    2,805,340,890x = 37,197,563,871,257,911,296
  5. Step 5: Solve for x
    x = 37,197,563,871,257,911,296/2,805,340,890
  6. Step 6: Final answer
    x = 13,259,552,164.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.