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Finding the Third Proportional to 2,123,455,313 and 3,296,982,414

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Solution

The third proportional to 2,123,455,313 and 3,296,982,414 is: 5,119,059,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,455,313 : 3,296,982,414 = 3,296,982,414 : x
  2. Step 2: Convert to fraction form
    2,123,455,313/3,296,982,414 = 3,296,982,414/x
  3. Step 3: Cross multiply
    2,123,455,313x = 3,296,982,414 × 3,296,982,414
  4. Step 4: Simplify right side
    2,123,455,313x = 10,870,093,038,225,266,688
  5. Step 5: Solve for x
    x = 10,870,093,038,225,266,688/2,123,455,313
  6. Step 6: Final answer
    x = 5,119,059,003.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.