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Finding the Third Proportional to 1,614,186,504 and 3,357,201,523.50

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Solution

The third proportional to 1,614,186,504 and 3,357,201,523.50 is: 6,982,341,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,186,504 : 3,357,201,523.50 = 3,357,201,523.50 : x
  2. Step 2: Convert to fraction form
    1,614,186,504/3,357,201,523.50 = 3,357,201,523.50/x
  3. Step 3: Cross multiply
    1,614,186,504x = 3,357,201,523.50 × 3,357,201,523.50
  4. Step 4: Simplify right side
    1,614,186,504x = 11,270,802,069,390,721,024
  5. Step 5: Solve for x
    x = 11,270,802,069,390,721,024/1,614,186,504
  6. Step 6: Final answer
    x = 6,982,341,905.02

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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.