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Finding the Third Proportional to 713,465,142 and 1,091,521,783

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Solution

The third proportional to 713,465,142 and 1,091,521,783 is: 1,669,906,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,465,142 : 1,091,521,783 = 1,091,521,783 : x
  2. Step 2: Convert to fraction form
    713,465,142/1,091,521,783 = 1,091,521,783/x
  3. Step 3: Cross multiply
    713,465,142x = 1,091,521,783 × 1,091,521,783
  4. Step 4: Simplify right side
    713,465,142x = 1,191,419,802,763,499,008
  5. Step 5: Solve for x
    x = 1,191,419,802,763,499,008/713,465,142
  6. Step 6: Final answer
    x = 1,669,906,114.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.