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Finding the Third Proportional to 2,772,698,322 and 6,165,332,410

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Solution

The third proportional to 2,772,698,322 and 6,165,332,410 is: 13,709,145,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772,698,322 : 6,165,332,410 = 6,165,332,410 : x
  2. Step 2: Convert to fraction form
    2,772,698,322/6,165,332,410 = 6,165,332,410/x
  3. Step 3: Cross multiply
    2,772,698,322x = 6,165,332,410 × 6,165,332,410
  4. Step 4: Simplify right side
    2,772,698,322x = 38,011,323,725,796,409,344
  5. Step 5: Solve for x
    x = 38,011,323,725,796,409,344/2,772,698,322
  6. Step 6: Final answer
    x = 13,709,145,140.02

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.