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Finding the Third Proportional to 1,734,875,962 and 2,642,991,176

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Solution

The third proportional to 1,734,875,962 and 2,642,991,176 is: 4,026,456,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734,875,962 : 2,642,991,176 = 2,642,991,176 : x
  2. Step 2: Convert to fraction form
    1,734,875,962/2,642,991,176 = 2,642,991,176/x
  3. Step 3: Cross multiply
    1,734,875,962x = 2,642,991,176 × 2,642,991,176
  4. Step 4: Simplify right side
    1,734,875,962x = 6,985,402,356,413,862,912
  5. Step 5: Solve for x
    x = 6,985,402,356,413,862,912/1,734,875,962
  6. Step 6: Final answer
    x = 4,026,456,363.12

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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.