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Finding the Third Proportional to 6,830,090 and 14,545,026

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Solution

The third proportional to 6,830,090 and 14,545,026 is: 30,974,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830,090 : 14,545,026 = 14,545,026 : x
  2. Step 2: Convert to fraction form
    6,830,090/14,545,026 = 14,545,026/x
  3. Step 3: Cross multiply
    6,830,090x = 14,545,026 × 14,545,026
  4. Step 4: Simplify right side
    6,830,090x = 211,557,781,340,676
  5. Step 5: Solve for x
    x = 211,557,781,340,676/6,830,090
  6. Step 6: Final answer
    x = 30,974,376.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.