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Finding the Third Proportional to 12,652,287,150 and 26,351,796,658

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Solution

The third proportional to 12,652,287,150 and 26,351,796,658 is: 54,884,716,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652,287,150 : 26,351,796,658 = 26,351,796,658 : x
  2. Step 2: Convert to fraction form
    12,652,287,150/26,351,796,658 = 26,351,796,658/x
  3. Step 3: Cross multiply
    12,652,287,150x = 26,351,796,658 × 26,351,796,658
  4. Step 4: Simplify right side
    12,652,287,150x = 694,417,187,104,579,911,680
  5. Step 5: Solve for x
    x = 694,417,187,104,579,911,680/12,652,287,150
  6. Step 6: Final answer
    x = 54,884,716,009.99

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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.