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Finding the Third Proportional to 14,409,297 and 30,877,926

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Solution

The third proportional to 14,409,297 and 30,877,926 is: 66,168,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409,297 : 30,877,926 = 30,877,926 : x
  2. Step 2: Convert to fraction form
    14,409,297/30,877,926 = 30,877,926/x
  3. Step 3: Cross multiply
    14,409,297x = 30,877,926 × 30,877,926
  4. Step 4: Simplify right side
    14,409,297x = 953,446,314,061,476
  5. Step 5: Solve for x
    x = 953,446,314,061,476/14,409,297
  6. Step 6: Final answer
    x = 66,168,829.34

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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.