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Finding the Third Proportional to 587,054,712.38 and 1,258,144,533.56

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Solution

The third proportional to 587,054,712.38 and 1,258,144,533.56 is: 2,696,388,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,054,712.38 : 1,258,144,533.56 = 1,258,144,533.56 : x
  2. Step 2: Convert to fraction form
    587,054,712.38/1,258,144,533.56 = 1,258,144,533.56/x
  3. Step 3: Cross multiply
    587,054,712.38x = 1,258,144,533.56 × 1,258,144,533.56
  4. Step 4: Simplify right side
    587,054,712.38x = 1,582,927,667,333,200,640
  5. Step 5: Solve for x
    x = 1,582,927,667,333,200,640/587,054,712.38
  6. Step 6: Final answer
    x = 2,696,388,656.74

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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.