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Finding the Third Proportional to 874,734,735 and 1,927,768,272

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Solution

The third proportional to 874,734,735 and 1,927,768,272 is: 4,248,477,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,734,735 : 1,927,768,272 = 1,927,768,272 : x
  2. Step 2: Convert to fraction form
    874,734,735/1,927,768,272 = 1,927,768,272/x
  3. Step 3: Cross multiply
    874,734,735x = 1,927,768,272 × 1,927,768,272
  4. Step 4: Simplify right side
    874,734,735x = 3,716,290,510,529,865,728
  5. Step 5: Solve for x
    x = 3,716,290,510,529,865,728/874,734,735
  6. Step 6: Final answer
    x = 4,248,477,123.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.