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Finding the Third Proportional to 390,010,234,774.50 and 790,986,669,237

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Solution

The third proportional to 390,010,234,774.50 and 790,986,669,237 is: 1,604,214,082,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010,234,774.50 : 790,986,669,237 = 790,986,669,237 : x
  2. Step 2: Convert to fraction form
    390,010,234,774.50/790,986,669,237 = 790,986,669,237/x
  3. Step 3: Cross multiply
    390,010,234,774.50x = 790,986,669,237 × 790,986,669,237
  4. Step 4: Simplify right side
    390,010,234,774.50x = 625,659,910,910,643,181,453,312
  5. Step 5: Solve for x
    x = 625,659,910,910,643,181,453,312/390,010,234,774.50
  6. Step 6: Final answer
    x = 1,604,214,082,413.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.