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Finding the Third Proportional to 2,966,805,434 and 6,177,766,564

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Solution

The third proportional to 2,966,805,434 and 6,177,766,564 is: 12,863,937,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,805,434 : 6,177,766,564 = 6,177,766,564 : x
  2. Step 2: Convert to fraction form
    2,966,805,434/6,177,766,564 = 6,177,766,564/x
  3. Step 3: Cross multiply
    2,966,805,434x = 6,177,766,564 × 6,177,766,564
  4. Step 4: Simplify right side
    2,966,805,434x = 38,164,799,719,276,363,776
  5. Step 5: Solve for x
    x = 38,164,799,719,276,363,776/2,966,805,434
  6. Step 6: Final answer
    x = 12,863,937,514.04

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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.