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Finding the Third Proportional to 420,428,302 and 920,034,045

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Solution

The third proportional to 420,428,302 and 920,034,045 is: 2,013,334,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,428,302 : 920,034,045 = 920,034,045 : x
  2. Step 2: Convert to fraction form
    420,428,302/920,034,045 = 920,034,045/x
  3. Step 3: Cross multiply
    420,428,302x = 920,034,045 × 920,034,045
  4. Step 4: Simplify right side
    420,428,302x = 846,462,643,959,062,016
  5. Step 5: Solve for x
    x = 846,462,643,959,062,016/420,428,302
  6. Step 6: Final answer
    x = 2,013,334,116.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.