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Finding the Third Proportional to 296,887,772 and 614,140,888

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Solution

The third proportional to 296,887,772 and 614,140,888 is: 1,270,409,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,772 : 614,140,888 = 614,140,888 : x
  2. Step 2: Convert to fraction form
    296,887,772/614,140,888 = 614,140,888/x
  3. Step 3: Cross multiply
    296,887,772x = 614,140,888 × 614,140,888
  4. Step 4: Simplify right side
    296,887,772x = 377,169,030,313,428,544
  5. Step 5: Solve for x
    x = 377,169,030,313,428,544/296,887,772
  6. Step 6: Final answer
    x = 1,270,409,447.22

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.