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Finding the Third Proportional to 2,037,648,209 and 4,402,462,122

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Solution

The third proportional to 2,037,648,209 and 4,402,462,122 is: 9,511,785,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,648,209 : 4,402,462,122 = 4,402,462,122 : x
  2. Step 2: Convert to fraction form
    2,037,648,209/4,402,462,122 = 4,402,462,122/x
  3. Step 3: Cross multiply
    2,037,648,209x = 4,402,462,122 × 4,402,462,122
  4. Step 4: Simplify right side
    2,037,648,209x = 19,381,672,735,644,741,632
  5. Step 5: Solve for x
    x = 19,381,672,735,644,741,632/2,037,648,209
  6. Step 6: Final answer
    x = 9,511,785,523.15

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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.