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Finding the Third Proportional to 29,598,340,368 and 42,543,204,120

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Solution

The third proportional to 29,598,340,368 and 42,543,204,120 is: 61,149,516,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598,340,368 : 42,543,204,120 = 42,543,204,120 : x
  2. Step 2: Convert to fraction form
    29,598,340,368/42,543,204,120 = 42,543,204,120/x
  3. Step 3: Cross multiply
    29,598,340,368x = 42,543,204,120 × 42,543,204,120
  4. Step 4: Simplify right side
    29,598,340,368x = 1,809,924,216,795,985,084,416
  5. Step 5: Solve for x
    x = 1,809,924,216,795,985,084,416/29,598,340,368
  6. Step 6: Final answer
    x = 61,149,516,976.05

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Why These Related Problems?

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