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Finding the Third Proportional to 16,597,921,338 and 25,496,437,386.38

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Solution

The third proportional to 16,597,921,338 and 25,496,437,386.38 is: 39,165,646,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597,921,338 : 25,496,437,386.38 = 25,496,437,386.38 : x
  2. Step 2: Convert to fraction form
    16,597,921,338/25,496,437,386.38 = 25,496,437,386.38/x
  3. Step 3: Cross multiply
    16,597,921,338x = 25,496,437,386.38 × 25,496,437,386.38
  4. Step 4: Simplify right side
    16,597,921,338x = 650,068,319,397,340,905,472
  5. Step 5: Solve for x
    x = 650,068,319,397,340,905,472/16,597,921,338
  6. Step 6: Final answer
    x = 39,165,646,478.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.