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Finding the Third Proportional to 29,832,767.50 and 46,026,530.25

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Solution

The third proportional to 29,832,767.50 and 46,026,530.25 is: 71,010,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832,767.50 : 46,026,530.25 = 46,026,530.25 : x
  2. Step 2: Convert to fraction form
    29,832,767.50/46,026,530.25 = 46,026,530.25/x
  3. Step 3: Cross multiply
    29,832,767.50x = 46,026,530.25 × 46,026,530.25
  4. Step 4: Simplify right side
    29,832,767.50x = 2,118,441,486,854,165
  5. Step 5: Solve for x
    x = 2,118,441,486,854,165/29,832,767.50
  6. Step 6: Final answer
    x = 71,010,558.67

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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.