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Finding the Third Proportional to 356,136,643.13 and 773,185,609.13

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Solution

The third proportional to 356,136,643.13 and 773,185,609.13 is: 1,678,614,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,136,643.13 : 773,185,609.13 = 773,185,609.13 : x
  2. Step 2: Convert to fraction form
    356,136,643.13/773,185,609.13 = 773,185,609.13/x
  3. Step 3: Cross multiply
    356,136,643.13x = 773,185,609.13 × 773,185,609.13
  4. Step 4: Simplify right side
    356,136,643.13x = 597,815,986,157,997,312
  5. Step 5: Solve for x
    x = 597,815,986,157,997,312/356,136,643.13
  6. Step 6: Final answer
    x = 1,678,614,087.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.