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Finding the Third Proportional to 1,731,734,942 and 3,780,897,436

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Solution

The third proportional to 1,731,734,942 and 3,780,897,436 is: 8,254,834,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731,734,942 : 3,780,897,436 = 3,780,897,436 : x
  2. Step 2: Convert to fraction form
    1,731,734,942/3,780,897,436 = 3,780,897,436/x
  3. Step 3: Cross multiply
    1,731,734,942x = 3,780,897,436 × 3,780,897,436
  4. Step 4: Simplify right side
    1,731,734,942x = 14,295,185,421,551,374,336
  5. Step 5: Solve for x
    x = 14,295,185,421,551,374,336/1,731,734,942
  6. Step 6: Final answer
    x = 8,254,834,544.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.