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Finding the Third Proportional to 13,716,254 and 29,497,036

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Solution

The third proportional to 13,716,254 and 29,497,036 is: 63,433,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716,254 : 29,497,036 = 29,497,036 : x
  2. Step 2: Convert to fraction form
    13,716,254/29,497,036 = 29,497,036/x
  3. Step 3: Cross multiply
    13,716,254x = 29,497,036 × 29,497,036
  4. Step 4: Simplify right side
    13,716,254x = 870,075,132,785,296
  5. Step 5: Solve for x
    x = 870,075,132,785,296/13,716,254
  6. Step 6: Final answer
    x = 63,433,874.35

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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.