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Finding the Third Proportional to 910,477,827 and 2,148,591,874.50

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Solution

The third proportional to 910,477,827 and 2,148,591,874.50 is: 5,070,356,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,477,827 : 2,148,591,874.50 = 2,148,591,874.50 : x
  2. Step 2: Convert to fraction form
    910,477,827/2,148,591,874.50 = 2,148,591,874.50/x
  3. Step 3: Cross multiply
    910,477,827x = 2,148,591,874.50 × 2,148,591,874.50
  4. Step 4: Simplify right side
    910,477,827x = 4,616,447,043,167,423,488
  5. Step 5: Solve for x
    x = 4,616,447,043,167,423,488/910,477,827
  6. Step 6: Final answer
    x = 5,070,356,362.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.