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Finding the Third Proportional to 558,426,618 and 1,227,629,160

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Solution

The third proportional to 558,426,618 and 1,227,629,160 is: 2,698,784,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,426,618 : 1,227,629,160 = 1,227,629,160 : x
  2. Step 2: Convert to fraction form
    558,426,618/1,227,629,160 = 1,227,629,160/x
  3. Step 3: Cross multiply
    558,426,618x = 1,227,629,160 × 1,227,629,160
  4. Step 4: Simplify right side
    558,426,618x = 1,507,073,354,482,305,536
  5. Step 5: Solve for x
    x = 1,507,073,354,482,305,536/558,426,618
  6. Step 6: Final answer
    x = 2,698,784,953.84

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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.