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Finding the Third Proportional to 714,071,082 and 1,103,420,898

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Solution

The third proportional to 714,071,082 and 1,103,420,898 is: 1,705,065,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,071,082 : 1,103,420,898 = 1,103,420,898 : x
  2. Step 2: Convert to fraction form
    714,071,082/1,103,420,898 = 1,103,420,898/x
  3. Step 3: Cross multiply
    714,071,082x = 1,103,420,898 × 1,103,420,898
  4. Step 4: Simplify right side
    714,071,082x = 1,217,537,678,143,126,528
  5. Step 5: Solve for x
    x = 1,217,537,678,143,126,528/714,071,082
  6. Step 6: Final answer
    x = 1,705,065,096.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.