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Finding the Third Proportional to 49,064,820 and 107,041,728

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Solution

The third proportional to 49,064,820 and 107,041,728 is: 233,526,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064,820 : 107,041,728 = 107,041,728 : x
  2. Step 2: Convert to fraction form
    49,064,820/107,041,728 = 107,041,728/x
  3. Step 3: Cross multiply
    49,064,820x = 107,041,728 × 107,041,728
  4. Step 4: Simplify right side
    49,064,820x = 11,457,931,533,225,984
  5. Step 5: Solve for x
    x = 11,457,931,533,225,984/49,064,820
  6. Step 6: Final answer
    x = 233,526,415.33

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Why These Related Problems?

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