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Finding the Third Proportional to 2,833,885,010 and 6,149,473,444

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Solution

The third proportional to 2,833,885,010 and 6,149,473,444 is: 13,344,233,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,885,010 : 6,149,473,444 = 6,149,473,444 : x
  2. Step 2: Convert to fraction form
    2,833,885,010/6,149,473,444 = 6,149,473,444/x
  3. Step 3: Cross multiply
    2,833,885,010x = 6,149,473,444 × 6,149,473,444
  4. Step 4: Simplify right side
    2,833,885,010x = 37,816,023,638,461,218,816
  5. Step 5: Solve for x
    x = 37,816,023,638,461,218,816/2,833,885,010
  6. Step 6: Final answer
    x = 13,344,233,624.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.