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Finding the Third Proportional to 14,409,291 and 30,877,914

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Solution

The third proportional to 14,409,291 and 30,877,914 is: 66,168,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409,291 : 30,877,914 = 30,877,914 : x
  2. Step 2: Convert to fraction form
    14,409,291/30,877,914 = 30,877,914/x
  3. Step 3: Cross multiply
    14,409,291x = 30,877,914 × 30,877,914
  4. Step 4: Simplify right side
    14,409,291x = 953,445,572,991,396
  5. Step 5: Solve for x
    x = 953,445,572,991,396/14,409,291
  6. Step 6: Final answer
    x = 66,168,805.46

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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.