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Finding the Third Proportional to 1,048,129,350 and 2,243,495,964

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Solution

The third proportional to 1,048,129,350 and 2,243,495,964 is: 4,802,149,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,129,350 : 2,243,495,964 = 2,243,495,964 : x
  2. Step 2: Convert to fraction form
    1,048,129,350/2,243,495,964 = 2,243,495,964/x
  3. Step 3: Cross multiply
    1,048,129,350x = 2,243,495,964 × 2,243,495,964
  4. Step 4: Simplify right side
    1,048,129,350x = 5,033,274,140,484,289,536
  5. Step 5: Solve for x
    x = 5,033,274,140,484,289,536/1,048,129,350
  6. Step 6: Final answer
    x = 4,802,149,792.37

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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.