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Finding the Third Proportional to 14,409,283 and 30,877,900

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Solution

The third proportional to 14,409,283 and 30,877,900 is: 66,168,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409,283 : 30,877,900 = 30,877,900 : x
  2. Step 2: Convert to fraction form
    14,409,283/30,877,900 = 30,877,900/x
  3. Step 3: Cross multiply
    14,409,283x = 30,877,900 × 30,877,900
  4. Step 4: Simplify right side
    14,409,283x = 953,444,708,410,000
  5. Step 5: Solve for x
    x = 953,444,708,410,000/14,409,283
  6. Step 6: Final answer
    x = 66,168,782.19

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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.