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Finding the Third Proportional to 1,092,185,133 and 2,406,992,378.25

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Solution

The third proportional to 1,092,185,133 and 2,406,992,378.25 is: 5,304,606,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,185,133 : 2,406,992,378.25 = 2,406,992,378.25 : x
  2. Step 2: Convert to fraction form
    1,092,185,133/2,406,992,378.25 = 2,406,992,378.25/x
  3. Step 3: Cross multiply
    1,092,185,133x = 2,406,992,378.25 × 2,406,992,378.25
  4. Step 4: Simplify right side
    1,092,185,133x = 5,793,612,308,953,590,784
  5. Step 5: Solve for x
    x = 5,793,612,308,953,590,784/1,092,185,133
  6. Step 6: Final answer
    x = 5,304,606,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.