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Finding the Third Proportional to 312,007,764 and 676,076,712

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Solution

The third proportional to 312,007,764 and 676,076,712 is: 1,464,962,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,007,764 : 676,076,712 = 676,076,712 : x
  2. Step 2: Convert to fraction form
    312,007,764/676,076,712 = 676,076,712/x
  3. Step 3: Cross multiply
    312,007,764x = 676,076,712 × 676,076,712
  4. Step 4: Simplify right side
    312,007,764x = 457,079,720,508,730,944
  5. Step 5: Solve for x
    x = 457,079,720,508,730,944/312,007,764
  6. Step 6: Final answer
    x = 1,464,962,649.16

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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.