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Finding the Third Proportional to 2,034,895,578 and 4,407,847,140

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Solution

The third proportional to 2,034,895,578 and 4,407,847,140 is: 9,547,967,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,895,578 : 4,407,847,140 = 4,407,847,140 : x
  2. Step 2: Convert to fraction form
    2,034,895,578/4,407,847,140 = 4,407,847,140/x
  3. Step 3: Cross multiply
    2,034,895,578x = 4,407,847,140 × 4,407,847,140
  4. Step 4: Simplify right side
    2,034,895,578x = 19,429,116,409,606,180,864
  5. Step 5: Solve for x
    x = 19,429,116,409,606,180,864/2,034,895,578
  6. Step 6: Final answer
    x = 9,547,967,286.21

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