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Finding the Third Proportional to 918,478,066 and 1,418,328,047

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Solution

The third proportional to 918,478,066 and 1,418,328,047 is: 2,190,204,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,478,066 : 1,418,328,047 = 1,418,328,047 : x
  2. Step 2: Convert to fraction form
    918,478,066/1,418,328,047 = 1,418,328,047/x
  3. Step 3: Cross multiply
    918,478,066x = 1,418,328,047 × 1,418,328,047
  4. Step 4: Simplify right side
    918,478,066x = 2,011,654,448,906,834,176
  5. Step 5: Solve for x
    x = 2,011,654,448,906,834,176/918,478,066
  6. Step 6: Final answer
    x = 2,190,204,125.03

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Why These Related Problems?

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