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Finding the Third Proportional to 5,605,809,562 and 13,233,041,960

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Solution

The third proportional to 5,605,809,562 and 13,233,041,960 is: 31,237,843,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,809,562 : 13,233,041,960 = 13,233,041,960 : x
  2. Step 2: Convert to fraction form
    5,605,809,562/13,233,041,960 = 13,233,041,960/x
  3. Step 3: Cross multiply
    5,605,809,562x = 13,233,041,960 × 13,233,041,960
  4. Step 4: Simplify right side
    5,605,809,562x = 175,113,399,515,120,631,808
  5. Step 5: Solve for x
    x = 175,113,399,515,120,631,808/5,605,809,562
  6. Step 6: Final answer
    x = 31,237,843,094.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.