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Finding the Third Proportional to 3,243,338,710 and 7,081,182,776

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Solution

The third proportional to 3,243,338,710 and 7,081,182,776 is: 15,460,349,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,338,710 : 7,081,182,776 = 7,081,182,776 : x
  2. Step 2: Convert to fraction form
    3,243,338,710/7,081,182,776 = 7,081,182,776/x
  3. Step 3: Cross multiply
    3,243,338,710x = 7,081,182,776 × 7,081,182,776
  4. Step 4: Simplify right side
    3,243,338,710x = 50,143,149,507,119,063,040
  5. Step 5: Solve for x
    x = 50,143,149,507,119,063,040/3,243,338,710
  6. Step 6: Final answer
    x = 15,460,349,346.96

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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.