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Finding the Third Proportional to 874,734,733.14 and 1,927,768,267.78

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Solution

The third proportional to 874,734,733.14 and 1,927,768,267.78 is: 4,248,477,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,734,733.14 : 1,927,768,267.78 = 1,927,768,267.78 : x
  2. Step 2: Convert to fraction form
    874,734,733.14/1,927,768,267.78 = 1,927,768,267.78/x
  3. Step 3: Cross multiply
    874,734,733.14x = 1,927,768,267.78 × 1,927,768,267.78
  4. Step 4: Simplify right side
    874,734,733.14x = 3,716,290,494,242,537,472
  5. Step 5: Solve for x
    x = 3,716,290,494,242,537,472/874,734,733.14
  6. Step 6: Final answer
    x = 4,248,477,113.62

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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.