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Finding the Third Proportional to 1,534,707,713.25 and 3,329,903,650.50

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Solution

The third proportional to 1,534,707,713.25 and 3,329,903,650.50 is: 7,224,996,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,707,713.25 : 3,329,903,650.50 = 3,329,903,650.50 : x
  2. Step 2: Convert to fraction form
    1,534,707,713.25/3,329,903,650.50 = 3,329,903,650.50/x
  3. Step 3: Cross multiply
    1,534,707,713.25x = 3,329,903,650.50 × 3,329,903,650.50
  4. Step 4: Simplify right side
    1,534,707,713.25x = 11,088,258,321,613,225,984
  5. Step 5: Solve for x
    x = 11,088,258,321,613,225,984/1,534,707,713.25
  6. Step 6: Final answer
    x = 7,224,996,802.90

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