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Finding the Third Proportional to 909,222,252.75 and 1,960,364,497.50

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Solution

The third proportional to 909,222,252.75 and 1,960,364,497.50 is: 4,226,721,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,222,252.75 : 1,960,364,497.50 = 1,960,364,497.50 : x
  2. Step 2: Convert to fraction form
    909,222,252.75/1,960,364,497.50 = 1,960,364,497.50/x
  3. Step 3: Cross multiply
    909,222,252.75x = 1,960,364,497.50 × 1,960,364,497.50
  4. Step 4: Simplify right side
    909,222,252.75x = 3,843,028,963,058,427,392
  5. Step 5: Solve for x
    x = 3,843,028,963,058,427,392/909,222,252.75
  6. Step 6: Final answer
    x = 4,226,721,191.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.