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Finding the Third Proportional to 3,802,835,638.13 and 8,129,018,918.25

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Solution

The third proportional to 3,802,835,638.13 and 8,129,018,918.25 is: 17,376,756,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802,835,638.13 : 8,129,018,918.25 = 8,129,018,918.25 : x
  2. Step 2: Convert to fraction form
    3,802,835,638.13/8,129,018,918.25 = 8,129,018,918.25/x
  3. Step 3: Cross multiply
    3,802,835,638.13x = 8,129,018,918.25 × 8,129,018,918.25
  4. Step 4: Simplify right side
    3,802,835,638.13x = 66,080,948,573,266,403,328
  5. Step 5: Solve for x
    x = 66,080,948,573,266,403,328/3,802,835,638.13
  6. Step 6: Final answer
    x = 17,376,756,415.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.