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Finding the Third Proportional to 40,959,151,210,340 and 59,178,900,348,648

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Solution

The third proportional to 40,959,151,210,340 and 59,178,900,348,648 is: 85,503,291,523,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,959,151,210,340 : 59,178,900,348,648 = 59,178,900,348,648 : x
  2. Step 2: Convert to fraction form
    40,959,151,210,340/59,178,900,348,648 = 59,178,900,348,648/x
  3. Step 3: Cross multiply
    40,959,151,210,340x = 59,178,900,348,648 × 59,178,900,348,648
  4. Step 4: Simplify right side
    40,959,151,210,340x = 3,502,142,246,475,210,485,590,392,832
  5. Step 5: Solve for x
    x = 3,502,142,246,475,210,485,590,392,832/40,959,151,210,340
  6. Step 6: Final answer
    x = 85,503,291,523,070.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.