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Finding the Third Proportional to 1,637,355,045 and 3,561,592,003

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Solution

The third proportional to 1,637,355,045 and 3,561,592,003 is: 7,747,212,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,355,045 : 3,561,592,003 = 3,561,592,003 : x
  2. Step 2: Convert to fraction form
    1,637,355,045/3,561,592,003 = 3,561,592,003/x
  3. Step 3: Cross multiply
    1,637,355,045x = 3,561,592,003 × 3,561,592,003
  4. Step 4: Simplify right side
    1,637,355,045x = 12,684,937,595,833,552,896
  5. Step 5: Solve for x
    x = 12,684,937,595,833,552,896/1,637,355,045
  6. Step 6: Final answer
    x = 7,747,212,575.90

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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.