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Finding the Third Proportional to 502,957,976,202 and 1,096,946,052,840

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Solution

The third proportional to 502,957,976,202 and 1,096,946,052,840 is: 2,392,427,796,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,957,976,202 : 1,096,946,052,840 = 1,096,946,052,840 : x
  2. Step 2: Convert to fraction form
    502,957,976,202/1,096,946,052,840 = 1,096,946,052,840/x
  3. Step 3: Cross multiply
    502,957,976,202x = 1,096,946,052,840 × 1,096,946,052,840
  4. Step 4: Simplify right side
    502,957,976,202x = 1,203,290,642,841,256,134,180,864
  5. Step 5: Solve for x
    x = 1,203,290,642,841,256,134,180,864/502,957,976,202
  6. Step 6: Final answer
    x = 2,392,427,796,707.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.