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Finding the Third Proportional to 646,856,306 and 1,407,048,676

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Solution

The third proportional to 646,856,306 and 1,407,048,676 is: 3,060,627,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,856,306 : 1,407,048,676 = 1,407,048,676 : x
  2. Step 2: Convert to fraction form
    646,856,306/1,407,048,676 = 1,407,048,676/x
  3. Step 3: Cross multiply
    646,856,306x = 1,407,048,676 × 1,407,048,676
  4. Step 4: Simplify right side
    646,856,306x = 1,979,785,976,633,352,960
  5. Step 5: Solve for x
    x = 1,979,785,976,633,352,960/646,856,306
  6. Step 6: Final answer
    x = 3,060,627,156.71

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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.