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Finding the Third Proportional to 279,441,925,166.50 and 607,845,029,933

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Solution

The third proportional to 279,441,925,166.50 and 607,845,029,933 is: 1,322,190,935,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,441,925,166.50 : 607,845,029,933 = 607,845,029,933 : x
  2. Step 2: Convert to fraction form
    279,441,925,166.50/607,845,029,933 = 607,845,029,933/x
  3. Step 3: Cross multiply
    279,441,925,166.50x = 607,845,029,933 × 607,845,029,933
  4. Step 4: Simplify right side
    279,441,925,166.50x = 369,475,580,414,249,647,734,784
  5. Step 5: Solve for x
    x = 369,475,580,414,249,647,734,784/279,441,925,166.50
  6. Step 6: Final answer
    x = 1,322,190,935,358.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.