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Finding the Third Proportional to 1,169,117,829 and 2,544,047,487

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Solution

The third proportional to 1,169,117,829 and 2,544,047,487 is: 5,535,949,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,117,829 : 2,544,047,487 = 2,544,047,487 : x
  2. Step 2: Convert to fraction form
    1,169,117,829/2,544,047,487 = 2,544,047,487/x
  3. Step 3: Cross multiply
    1,169,117,829x = 2,544,047,487 × 2,544,047,487
  4. Step 4: Simplify right side
    1,169,117,829x = 6,472,177,616,111,014,912
  5. Step 5: Solve for x
    x = 6,472,177,616,111,014,912/1,169,117,829
  6. Step 6: Final answer
    x = 5,535,949,803.83

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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.