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Finding the Third Proportional to 69,281,410 and 96,859,495

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Solution

The third proportional to 69,281,410 and 96,859,495 is: 135,415,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,410 : 96,859,495 = 96,859,495 : x
  2. Step 2: Convert to fraction form
    69,281,410/96,859,495 = 96,859,495/x
  3. Step 3: Cross multiply
    69,281,410x = 96,859,495 × 96,859,495
  4. Step 4: Simplify right side
    69,281,410x = 9,381,761,771,655,024
  5. Step 5: Solve for x
    x = 9,381,761,771,655,024/69,281,410
  6. Step 6: Final answer
    x = 135,415,283.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.