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Finding the Third Proportional to 69,973,754 and 96,457,440

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Solution

The third proportional to 69,973,754 and 96,457,440 is: 132,964,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,973,754 : 96,457,440 = 96,457,440 : x
  2. Step 2: Convert to fraction form
    69,973,754/96,457,440 = 96,457,440/x
  3. Step 3: Cross multiply
    69,973,754x = 96,457,440 × 96,457,440
  4. Step 4: Simplify right side
    69,973,754x = 9,304,037,731,353,600
  5. Step 5: Solve for x
    x = 9,304,037,731,353,600/69,973,754
  6. Step 6: Final answer
    x = 132,964,678.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.