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Finding the Third Proportional to 2,138,689,872 and 3,403,076,112

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Solution

The third proportional to 2,138,689,872 and 3,403,076,112 is: 5,414,963,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,689,872 : 3,403,076,112 = 3,403,076,112 : x
  2. Step 2: Convert to fraction form
    2,138,689,872/3,403,076,112 = 3,403,076,112/x
  3. Step 3: Cross multiply
    2,138,689,872x = 3,403,076,112 × 3,403,076,112
  4. Step 4: Simplify right side
    2,138,689,872x = 11,580,927,024,065,036,288
  5. Step 5: Solve for x
    x = 11,580,927,024,065,036,288/2,138,689,872
  6. Step 6: Final answer
    x = 5,414,963,233.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.