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Finding the Third Proportional to 1,688,042,136 and 3,599,051,568

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Solution

The third proportional to 1,688,042,136 and 3,599,051,568 is: 7,673,488,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,042,136 : 3,599,051,568 = 3,599,051,568 : x
  2. Step 2: Convert to fraction form
    1,688,042,136/3,599,051,568 = 3,599,051,568/x
  3. Step 3: Cross multiply
    1,688,042,136x = 3,599,051,568 × 3,599,051,568
  4. Step 4: Simplify right side
    1,688,042,136x = 12,953,172,189,123,258,368
  5. Step 5: Solve for x
    x = 12,953,172,189,123,258,368/1,688,042,136
  6. Step 6: Final answer
    x = 7,673,488,660.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.