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Finding the Third Proportional to 42,067,890.42 and 64,621,430.44

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Solution

The third proportional to 42,067,890.42 and 64,621,430.44 is: 99,266,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,067,890.42 : 64,621,430.44 = 64,621,430.44 : x
  2. Step 2: Convert to fraction form
    42,067,890.42/64,621,430.44 = 64,621,430.44/x
  3. Step 3: Cross multiply
    42,067,890.42x = 64,621,430.44 × 64,621,430.44
  4. Step 4: Simplify right side
    42,067,890.42x = 4,175,929,271,788,651.50
  5. Step 5: Solve for x
    x = 4,175,929,271,788,651.50/42,067,890.42
  6. Step 6: Final answer
    x = 99,266,429.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.