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Finding the Third Proportional to 1,734,875,980 and 2,642,991,200

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Solution

The third proportional to 1,734,875,980 and 2,642,991,200 is: 4,026,456,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734,875,980 : 2,642,991,200 = 2,642,991,200 : x
  2. Step 2: Convert to fraction form
    1,734,875,980/2,642,991,200 = 2,642,991,200/x
  3. Step 3: Cross multiply
    1,734,875,980x = 2,642,991,200 × 2,642,991,200
  4. Step 4: Simplify right side
    1,734,875,980x = 6,985,402,483,277,440,000
  5. Step 5: Solve for x
    x = 6,985,402,483,277,440,000/1,734,875,980
  6. Step 6: Final answer
    x = 4,026,456,394.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.