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Finding the Third Proportional to 2,966,805,432 and 6,177,766,560

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Solution

The third proportional to 2,966,805,432 and 6,177,766,560 is: 12,863,937,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,805,432 : 6,177,766,560 = 6,177,766,560 : x
  2. Step 2: Convert to fraction form
    2,966,805,432/6,177,766,560 = 6,177,766,560/x
  3. Step 3: Cross multiply
    2,966,805,432x = 6,177,766,560 × 6,177,766,560
  4. Step 4: Simplify right side
    2,966,805,432x = 38,164,799,669,854,232,576
  5. Step 5: Solve for x
    x = 38,164,799,669,854,232,576/2,966,805,432
  6. Step 6: Final answer
    x = 12,863,937,506.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.