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Finding the Third Proportional to 1,113,052,772 and 2,417,896,696

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Solution

The third proportional to 1,113,052,772 and 2,417,896,696 is: 5,252,423,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113,052,772 : 2,417,896,696 = 2,417,896,696 : x
  2. Step 2: Convert to fraction form
    1,113,052,772/2,417,896,696 = 2,417,896,696/x
  3. Step 3: Cross multiply
    1,113,052,772x = 2,417,896,696 × 2,417,896,696
  4. Step 4: Simplify right side
    1,113,052,772x = 5,846,224,432,527,716,352
  5. Step 5: Solve for x
    x = 5,846,224,432,527,716,352/1,113,052,772
  6. Step 6: Final answer
    x = 5,252,423,406.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.