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Finding the Third Proportional to 307,425,707,502.78 and 676,335,481,224.30

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Solution

The third proportional to 307,425,707,502.78 and 676,335,481,224.30 is: 1,487,935,693,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,425,707,502.78 : 676,335,481,224.30 = 676,335,481,224.30 : x
  2. Step 2: Convert to fraction form
    307,425,707,502.78/676,335,481,224.30 = 676,335,481,224.30/x
  3. Step 3: Cross multiply
    307,425,707,502.78x = 676,335,481,224.30 × 676,335,481,224.30
  4. Step 4: Simplify right side
    307,425,707,502.78x = 457,429,683,162,905,495,732,224
  5. Step 5: Solve for x
    x = 457,429,683,162,905,495,732,224/307,425,707,502.78
  6. Step 6: Final answer
    x = 1,487,935,693,077.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.