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Finding the Third Proportional to 24,779,848 and 53,146,822

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Solution

The third proportional to 24,779,848 and 53,146,822 is: 113,987,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779,848 : 53,146,822 = 53,146,822 : x
  2. Step 2: Convert to fraction form
    24,779,848/53,146,822 = 53,146,822/x
  3. Step 3: Cross multiply
    24,779,848x = 53,146,822 × 53,146,822
  4. Step 4: Simplify right side
    24,779,848x = 2,824,584,688,699,684
  5. Step 5: Solve for x
    x = 2,824,584,688,699,684/24,779,848
  6. Step 6: Final answer
    x = 113,987,167.67

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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.