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Finding the Third Proportional to 1,142,037,290 and 2,501,689,828

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Solution

The third proportional to 1,142,037,290 and 2,501,689,828 is: 5,480,076,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,037,290 : 2,501,689,828 = 2,501,689,828 : x
  2. Step 2: Convert to fraction form
    1,142,037,290/2,501,689,828 = 2,501,689,828/x
  3. Step 3: Cross multiply
    1,142,037,290x = 2,501,689,828 × 2,501,689,828
  4. Step 4: Simplify right side
    1,142,037,290x = 6,258,451,995,518,669,824
  5. Step 5: Solve for x
    x = 6,258,451,995,518,669,824/1,142,037,290
  6. Step 6: Final answer
    x = 5,480,076,745.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.