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Finding the Third Proportional to 4,905,627,153 and 7,356,639,733.50

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Solution

The third proportional to 4,905,627,153 and 7,356,639,733.50 is: 11,032,258,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905,627,153 : 7,356,639,733.50 = 7,356,639,733.50 : x
  2. Step 2: Convert to fraction form
    4,905,627,153/7,356,639,733.50 = 7,356,639,733.50/x
  3. Step 3: Cross multiply
    4,905,627,153x = 7,356,639,733.50 × 7,356,639,733.50
  4. Step 4: Simplify right side
    4,905,627,153x = 54,120,148,168,510,947,328
  5. Step 5: Solve for x
    x = 54,120,148,168,510,947,328/4,905,627,153
  6. Step 6: Final answer
    x = 11,032,258,767.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.