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Finding the Third Proportional to 14,654,030 and 22,416,213

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Solution

The third proportional to 14,654,030 and 22,416,213 is: 34,289,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654,030 : 22,416,213 = 22,416,213 : x
  2. Step 2: Convert to fraction form
    14,654,030/22,416,213 = 22,416,213/x
  3. Step 3: Cross multiply
    14,654,030x = 22,416,213 × 22,416,213
  4. Step 4: Simplify right side
    14,654,030x = 502,486,605,261,369
  5. Step 5: Solve for x
    x = 502,486,605,261,369/14,654,030
  6. Step 6: Final answer
    x = 34,289,994.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.