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Finding the Third Proportional to 611,362,012.50 and 1,291,728,825

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Solution

The third proportional to 611,362,012.50 and 1,291,728,825 is: 2,729,255,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,362,012.50 : 1,291,728,825 = 1,291,728,825 : x
  2. Step 2: Convert to fraction form
    611,362,012.50/1,291,728,825 = 1,291,728,825/x
  3. Step 3: Cross multiply
    611,362,012.50x = 1,291,728,825 × 1,291,728,825
  4. Step 4: Simplify right side
    611,362,012.50x = 1,668,563,357,335,880,704
  5. Step 5: Solve for x
    x = 1,668,563,357,335,880,704/611,362,012.50
  6. Step 6: Final answer
    x = 2,729,255,863.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.