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Finding the Third Proportional to 922,112,760 and 1,416,477,960

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Solution

The third proportional to 922,112,760 and 1,416,477,960 is: 2,175,883,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,112,760 : 1,416,477,960 = 1,416,477,960 : x
  2. Step 2: Convert to fraction form
    922,112,760/1,416,477,960 = 1,416,477,960/x
  3. Step 3: Cross multiply
    922,112,760x = 1,416,477,960 × 1,416,477,960
  4. Step 4: Simplify right side
    922,112,760x = 2,006,409,811,165,761,536
  5. Step 5: Solve for x
    x = 2,006,409,811,165,761,536/922,112,760
  6. Step 6: Final answer
    x = 2,175,883,360.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.