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Finding the Third Proportional to 32,317,746 and 69,114,468

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Solution

The third proportional to 32,317,746 and 69,114,468 is: 147,807,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,317,746 : 69,114,468 = 69,114,468 : x
  2. Step 2: Convert to fraction form
    32,317,746/69,114,468 = 69,114,468/x
  3. Step 3: Cross multiply
    32,317,746x = 69,114,468 × 69,114,468
  4. Step 4: Simplify right side
    32,317,746x = 4,776,809,686,923,024
  5. Step 5: Solve for x
    x = 4,776,809,686,923,024/32,317,746
  6. Step 6: Final answer
    x = 147,807,637.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.