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Finding the Third Proportional to 32,898,657 and 71,283,226.50

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Solution

The third proportional to 32,898,657 and 71,283,226.50 is: 154,453,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898,657 : 71,283,226.50 = 71,283,226.50 : x
  2. Step 2: Convert to fraction form
    32,898,657/71,283,226.50 = 71,283,226.50/x
  3. Step 3: Cross multiply
    32,898,657x = 71,283,226.50 × 71,283,226.50
  4. Step 4: Simplify right side
    32,898,657x = 5,081,298,380,250,302
  5. Step 5: Solve for x
    x = 5,081,298,380,250,302/32,898,657
  6. Step 6: Final answer
    x = 154,453,064.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.