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Finding the Third Proportional to 1,586,678,576 and 3,428,308,864

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Solution

The third proportional to 1,586,678,576 and 3,428,308,864 is: 7,407,487,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,678,576 : 3,428,308,864 = 3,428,308,864 : x
  2. Step 2: Convert to fraction form
    1,586,678,576/3,428,308,864 = 3,428,308,864/x
  3. Step 3: Cross multiply
    1,586,678,576x = 3,428,308,864 × 3,428,308,864
  4. Step 4: Simplify right side
    1,586,678,576x = 11,753,301,666,980,970,496
  5. Step 5: Solve for x
    x = 11,753,301,666,980,970,496/1,586,678,576
  6. Step 6: Final answer
    x = 7,407,487,467.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.