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Finding the Third Proportional to 743,599,522 and 1,124,962,966.50

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Solution

The third proportional to 743,599,522 and 1,124,962,966.50 is: 1,701,912,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,599,522 : 1,124,962,966.50 = 1,124,962,966.50 : x
  2. Step 2: Convert to fraction form
    743,599,522/1,124,962,966.50 = 1,124,962,966.50/x
  3. Step 3: Cross multiply
    743,599,522x = 1,124,962,966.50 × 1,124,962,966.50
  4. Step 4: Simplify right side
    743,599,522x = 1,265,541,675,996,480,000
  5. Step 5: Solve for x
    x = 1,265,541,675,996,480,000/743,599,522
  6. Step 6: Final answer
    x = 1,701,912,976.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.