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Finding the Third Proportional to 553,042,618 and 1,184,969,114

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Solution

The third proportional to 553,042,618 and 1,184,969,114 is: 2,538,957,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,042,618 : 1,184,969,114 = 1,184,969,114 : x
  2. Step 2: Convert to fraction form
    553,042,618/1,184,969,114 = 1,184,969,114/x
  3. Step 3: Cross multiply
    553,042,618x = 1,184,969,114 × 1,184,969,114
  4. Step 4: Simplify right side
    553,042,618x = 1,404,151,801,133,945,088
  5. Step 5: Solve for x
    x = 1,404,151,801,133,945,088/553,042,618
  6. Step 6: Final answer
    x = 2,538,957,677.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.