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Finding the Third Proportional to 913,843,472 and 1,392,191,968

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Solution

The third proportional to 913,843,472 and 1,392,191,968 is: 2,120,930,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,843,472 : 1,392,191,968 = 1,392,191,968 : x
  2. Step 2: Convert to fraction form
    913,843,472/1,392,191,968 = 1,392,191,968/x
  3. Step 3: Cross multiply
    913,843,472x = 1,392,191,968 × 1,392,191,968
  4. Step 4: Simplify right side
    913,843,472x = 1,938,198,475,763,713,024
  5. Step 5: Solve for x
    x = 1,938,198,475,763,713,024/913,843,472
  6. Step 6: Final answer
    x = 2,120,930,482.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.