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Finding the Third Proportional to 613,661,322 and 1,342,111,710

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Solution

The third proportional to 613,661,322 and 1,342,111,710 is: 2,935,273,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,661,322 : 1,342,111,710 = 1,342,111,710 : x
  2. Step 2: Convert to fraction form
    613,661,322/1,342,111,710 = 1,342,111,710/x
  3. Step 3: Cross multiply
    613,661,322x = 1,342,111,710 × 1,342,111,710
  4. Step 4: Simplify right side
    613,661,322x = 1,801,263,842,119,124,224
  5. Step 5: Solve for x
    x = 1,801,263,842,119,124,224/613,661,322
  6. Step 6: Final answer
    x = 2,935,273,541.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.