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Finding the Third Proportional to 380,267,892 and 801,390,300.75

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Solution

The third proportional to 380,267,892 and 801,390,300.75 is: 1,688,878,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,267,892 : 801,390,300.75 = 801,390,300.75 : x
  2. Step 2: Convert to fraction form
    380,267,892/801,390,300.75 = 801,390,300.75/x
  3. Step 3: Cross multiply
    380,267,892x = 801,390,300.75 × 801,390,300.75
  4. Step 4: Simplify right side
    380,267,892x = 642,226,414,136,175,488
  5. Step 5: Solve for x
    x = 642,226,414,136,175,488/380,267,892
  6. Step 6: Final answer
    x = 1,688,878,886.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.