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Finding the Third Proportional to 871,671,104,208 and 1,226,970,102,024

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Solution

The third proportional to 871,671,104,208 and 1,226,970,102,024 is: 1,727,091,358,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,671,104,208 : 1,226,970,102,024 = 1,226,970,102,024 : x
  2. Step 2: Convert to fraction form
    871,671,104,208/1,226,970,102,024 = 1,226,970,102,024/x
  3. Step 3: Cross multiply
    871,671,104,208x = 1,226,970,102,024 × 1,226,970,102,024
  4. Step 4: Simplify right side
    871,671,104,208x = 1,505,455,631,260,785,001,365,504
  5. Step 5: Solve for x
    x = 1,505,455,631,260,785,001,365,504/871,671,104,208
  6. Step 6: Final answer
    x = 1,727,091,358,189.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.