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Finding the Third Proportional to 2,678,842,017 and 4,164,704,082

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Solution

The third proportional to 2,678,842,017 and 4,164,704,082 is: 6,474,723,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,842,017 : 4,164,704,082 = 4,164,704,082 : x
  2. Step 2: Convert to fraction form
    2,678,842,017/4,164,704,082 = 4,164,704,082/x
  3. Step 3: Cross multiply
    2,678,842,017x = 4,164,704,082 × 4,164,704,082
  4. Step 4: Simplify right side
    2,678,842,017x = 17,344,760,090,627,463,168
  5. Step 5: Solve for x
    x = 17,344,760,090,627,463,168/2,678,842,017
  6. Step 6: Final answer
    x = 6,474,723,026.05

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