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Finding the Third Proportional to 59,825,113,226 and 129,577,898,626

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Solution

The third proportional to 59,825,113,226 and 129,577,898,626 is: 280,658,588,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,825,113,226 : 129,577,898,626 = 129,577,898,626 : x
  2. Step 2: Convert to fraction form
    59,825,113,226/129,577,898,626 = 129,577,898,626/x
  3. Step 3: Cross multiply
    59,825,113,226x = 129,577,898,626 × 129,577,898,626
  4. Step 4: Simplify right side
    59,825,113,226x = 16,790,431,812,329,932,849,152
  5. Step 5: Solve for x
    x = 16,790,431,812,329,932,849,152/59,825,113,226
  6. Step 6: Final answer
    x = 280,658,588,123.37

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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.