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Finding the Third Proportional to 1,129,518,298 and 1,650,930,013

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Solution

The third proportional to 1,129,518,298 and 1,650,930,013 is: 2,413,037,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,518,298 : 1,650,930,013 = 1,650,930,013 : x
  2. Step 2: Convert to fraction form
    1,129,518,298/1,650,930,013 = 1,650,930,013/x
  3. Step 3: Cross multiply
    1,129,518,298x = 1,650,930,013 × 1,650,930,013
  4. Step 4: Simplify right side
    1,129,518,298x = 2,725,569,907,824,180,224
  5. Step 5: Solve for x
    x = 2,725,569,907,824,180,224/1,129,518,298
  6. Step 6: Final answer
    x = 2,413,037,409.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.