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Finding the Third Proportional to 3,684,048,813.81 and 8,013,581,929.62

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Solution

The third proportional to 3,684,048,813.81 and 8,013,581,929.62 is: 17,431,228,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684,048,813.81 : 8,013,581,929.62 = 8,013,581,929.62 : x
  2. Step 2: Convert to fraction form
    3,684,048,813.81/8,013,581,929.62 = 8,013,581,929.62/x
  3. Step 3: Cross multiply
    3,684,048,813.81x = 8,013,581,929.62 × 8,013,581,929.62
  4. Step 4: Simplify right side
    3,684,048,813.81x = 64,217,495,342,688,927,744
  5. Step 5: Solve for x
    x = 64,217,495,342,688,927,744/3,684,048,813.81
  6. Step 6: Final answer
    x = 17,431,228,137.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.