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Finding the Third Proportional to 2,118,769,842 and 3,306,896,343

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Solution

The third proportional to 2,118,769,842 and 3,306,896,343 is: 5,161,279,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,769,842 : 3,306,896,343 = 3,306,896,343 : x
  2. Step 2: Convert to fraction form
    2,118,769,842/3,306,896,343 = 3,306,896,343/x
  3. Step 3: Cross multiply
    2,118,769,842x = 3,306,896,343 × 3,306,896,343
  4. Step 4: Simplify right side
    2,118,769,842x = 10,935,563,423,346,774,016
  5. Step 5: Solve for x
    x = 10,935,563,423,346,774,016/2,118,769,842
  6. Step 6: Final answer
    x = 5,161,279,534.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.