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Finding the Third Proportional to 14,933,106 and 31,913,244

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Solution

The third proportional to 14,933,106 and 31,913,244 is: 68,201,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933,106 : 31,913,244 = 31,913,244 : x
  2. Step 2: Convert to fraction form
    14,933,106/31,913,244 = 31,913,244/x
  3. Step 3: Cross multiply
    14,933,106x = 31,913,244 × 31,913,244
  4. Step 4: Simplify right side
    14,933,106x = 1,018,455,142,603,536
  5. Step 5: Solve for x
    x = 1,018,455,142,603,536/14,933,106
  6. Step 6: Final answer
    x = 68,201,159.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.