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Finding the Third Proportional to 41,862,462,275 and 64,345,605,892.50

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Solution

The third proportional to 41,862,462,275 and 64,345,605,892.50 is: 98,903,809,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,862,462,275 : 64,345,605,892.50 = 64,345,605,892.50 : x
  2. Step 2: Convert to fraction form
    41,862,462,275/64,345,605,892.50 = 64,345,605,892.50/x
  3. Step 3: Cross multiply
    41,862,462,275x = 64,345,605,892.50 × 64,345,605,892.50
  4. Step 4: Simplify right side
    41,862,462,275x = 4,140,356,997,672,930,902,016
  5. Step 5: Solve for x
    x = 4,140,356,997,672,930,902,016/41,862,462,275
  6. Step 6: Final answer
    x = 98,903,809,586.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.