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Finding the Third Proportional to 32,900,467.50 and 45,994,519.13

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Solution

The third proportional to 32,900,467.50 and 45,994,519.13 is: 64,299,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900,467.50 : 45,994,519.13 = 45,994,519.13 : x
  2. Step 2: Convert to fraction form
    32,900,467.50/45,994,519.13 = 45,994,519.13/x
  3. Step 3: Cross multiply
    32,900,467.50x = 45,994,519.13 × 45,994,519.13
  4. Step 4: Simplify right side
    32,900,467.50x = 2,115,495,789,539,990.75
  5. Step 5: Solve for x
    x = 2,115,495,789,539,990.75/32,900,467.50
  6. Step 6: Final answer
    x = 64,299,870.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.