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Finding the Third Proportional to 29,733,056 and 64,020,969

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Solution

The third proportional to 29,733,056 and 64,020,969 is: 137,849,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733,056 : 64,020,969 = 64,020,969 : x
  2. Step 2: Convert to fraction form
    29,733,056/64,020,969 = 64,020,969/x
  3. Step 3: Cross multiply
    29,733,056x = 64,020,969 × 64,020,969
  4. Step 4: Simplify right side
    29,733,056x = 4,098,684,471,698,961
  5. Step 5: Solve for x
    x = 4,098,684,471,698,961/29,733,056
  6. Step 6: Final answer
    x = 137,849,418.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.