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Finding the Third Proportional to 349,822,866.25 and 765,544,692.50

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Solution

The third proportional to 349,822,866.25 and 765,544,692.50 is: 1,675,301,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822,866.25 : 765,544,692.50 = 765,544,692.50 : x
  2. Step 2: Convert to fraction form
    349,822,866.25/765,544,692.50 = 765,544,692.50/x
  3. Step 3: Cross multiply
    349,822,866.25x = 765,544,692.50 × 765,544,692.50
  4. Step 4: Simplify right side
    349,822,866.25x = 586,058,676,214,919,552
  5. Step 5: Solve for x
    x = 586,058,676,214,919,552/349,822,866.25
  6. Step 6: Final answer
    x = 1,675,301,224.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.