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Finding the Third Proportional to 1,366,661,347.50 and 2,041,036,408.50

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Solution

The third proportional to 1,366,661,347.50 and 2,041,036,408.50 is: 3,048,179,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,661,347.50 : 2,041,036,408.50 = 2,041,036,408.50 : x
  2. Step 2: Convert to fraction form
    1,366,661,347.50/2,041,036,408.50 = 2,041,036,408.50/x
  3. Step 3: Cross multiply
    1,366,661,347.50x = 2,041,036,408.50 × 2,041,036,408.50
  4. Step 4: Simplify right side
    1,366,661,347.50x = 4,165,829,620,822,578,688
  5. Step 5: Solve for x
    x = 4,165,829,620,822,578,688/1,366,661,347.50
  6. Step 6: Final answer
    x = 3,048,179,878.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.