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Finding the Third Proportional to 69,973,752 and 96,457,437

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Solution

The third proportional to 69,973,752 and 96,457,437 is: 132,964,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,973,752 : 96,457,437 = 96,457,437 : x
  2. Step 2: Convert to fraction form
    69,973,752/96,457,437 = 96,457,437/x
  3. Step 3: Cross multiply
    69,973,752x = 96,457,437 × 96,457,437
  4. Step 4: Simplify right side
    69,973,752x = 9,304,037,152,608,968
  5. Step 5: Solve for x
    x = 9,304,037,152,608,968/69,973,752
  6. Step 6: Final answer
    x = 132,964,674.42

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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.