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Finding the Third Proportional to 6,935,826 and 14,894,297

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Solution

The third proportional to 6,935,826 and 14,894,297 is: 31,984,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935,826 : 14,894,297 = 14,894,297 : x
  2. Step 2: Convert to fraction form
    6,935,826/14,894,297 = 14,894,297/x
  3. Step 3: Cross multiply
    6,935,826x = 14,894,297 × 14,894,297
  4. Step 4: Simplify right side
    6,935,826x = 221,840,083,124,209
  5. Step 5: Solve for x
    x = 221,840,083,124,209/6,935,826
  6. Step 6: Final answer
    x = 31,984,666.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.