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Finding the Third Proportional to 49,064,822 and 107,041,732

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Solution

The third proportional to 49,064,822 and 107,041,732 is: 233,526,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064,822 : 107,041,732 = 107,041,732 : x
  2. Step 2: Convert to fraction form
    49,064,822/107,041,732 = 107,041,732/x
  3. Step 3: Cross multiply
    49,064,822x = 107,041,732 × 107,041,732
  4. Step 4: Simplify right side
    49,064,822x = 11,457,932,389,559,824
  5. Step 5: Solve for x
    x = 11,457,932,389,559,824/49,064,822
  6. Step 6: Final answer
    x = 233,526,423.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.