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Finding the Third Proportional to 7,393,862,103 and 16,440,886,254

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Solution

The third proportional to 7,393,862,103 and 16,440,886,254 is: 36,557,720,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393,862,103 : 16,440,886,254 = 16,440,886,254 : x
  2. Step 2: Convert to fraction form
    7,393,862,103/16,440,886,254 = 16,440,886,254/x
  3. Step 3: Cross multiply
    7,393,862,103x = 16,440,886,254 × 16,440,886,254
  4. Step 4: Simplify right side
    7,393,862,103x = 270,302,740,816,966,156,288
  5. Step 5: Solve for x
    x = 270,302,740,816,966,156,288/7,393,862,103
  6. Step 6: Final answer
    x = 36,557,720,045.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.