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Finding the Third Proportional to 611,114,754 and 969,265,827

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Solution

The third proportional to 611,114,754 and 969,265,827 is: 1,537,315,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,114,754 : 969,265,827 = 969,265,827 : x
  2. Step 2: Convert to fraction form
    611,114,754/969,265,827 = 969,265,827/x
  3. Step 3: Cross multiply
    611,114,754x = 969,265,827 × 969,265,827
  4. Step 4: Simplify right side
    611,114,754x = 939,476,243,389,993,984
  5. Step 5: Solve for x
    x = 939,476,243,389,993,984/611,114,754
  6. Step 6: Final answer
    x = 1,537,315,597.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.