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Finding the Third Proportional to 2,799,774,588 and 5,998,898,762

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Solution

The third proportional to 2,799,774,588 and 5,998,898,762 is: 12,853,458,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,774,588 : 5,998,898,762 = 5,998,898,762 : x
  2. Step 2: Convert to fraction form
    2,799,774,588/5,998,898,762 = 5,998,898,762/x
  3. Step 3: Cross multiply
    2,799,774,588x = 5,998,898,762 × 5,998,898,762
  4. Step 4: Simplify right side
    2,799,774,588x = 35,986,786,356,725,133,312
  5. Step 5: Solve for x
    x = 35,986,786,356,725,133,312/2,799,774,588
  6. Step 6: Final answer
    x = 12,853,458,457.32

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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.