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Finding the Third Proportional to 1,614,186,510 and 3,357,201,537

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Solution

The third proportional to 1,614,186,510 and 3,357,201,537 is: 6,982,341,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,186,510 : 3,357,201,537 = 3,357,201,537 : x
  2. Step 2: Convert to fraction form
    1,614,186,510/3,357,201,537 = 3,357,201,537/x
  3. Step 3: Cross multiply
    1,614,186,510x = 3,357,201,537 × 3,357,201,537
  4. Step 4: Simplify right side
    1,614,186,510x = 11,270,802,160,035,162,112
  5. Step 5: Solve for x
    x = 11,270,802,160,035,162,112/1,614,186,510
  6. Step 6: Final answer
    x = 6,982,341,935.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.