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Finding the Third Proportional to 349,725,559.50 and 753,929,346.38

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Solution

The third proportional to 349,725,559.50 and 753,929,346.38 is: 1,625,301,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,725,559.50 : 753,929,346.38 = 753,929,346.38 : x
  2. Step 2: Convert to fraction form
    349,725,559.50/753,929,346.38 = 753,929,346.38/x
  3. Step 3: Cross multiply
    349,725,559.50x = 753,929,346.38 × 753,929,346.38
  4. Step 4: Simplify right side
    349,725,559.50x = 568,409,459,325,434,752
  5. Step 5: Solve for x
    x = 568,409,459,325,434,752/349,725,559.50
  6. Step 6: Final answer
    x = 1,625,301,451.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.