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Finding the Third Proportional to 7,393,862,146 and 16,440,886,340

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Solution

The third proportional to 7,393,862,146 and 16,440,886,340 is: 36,557,720,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393,862,146 : 16,440,886,340 = 16,440,886,340 : x
  2. Step 2: Convert to fraction form
    7,393,862,146/16,440,886,340 = 16,440,886,340/x
  3. Step 3: Cross multiply
    7,393,862,146x = 16,440,886,340 × 16,440,886,340
  4. Step 4: Simplify right side
    7,393,862,146x = 270,302,743,644,798,582,784
  5. Step 5: Solve for x
    x = 270,302,743,644,798,582,784/7,393,862,146
  6. Step 6: Final answer
    x = 36,557,720,215.41

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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.