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Finding the Third Proportional to 69,362,370 and 144,463,056

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Solution

The third proportional to 69,362,370 and 144,463,056 is: 300,877,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,362,370 : 144,463,056 = 144,463,056 : x
  2. Step 2: Convert to fraction form
    69,362,370/144,463,056 = 144,463,056/x
  3. Step 3: Cross multiply
    69,362,370x = 144,463,056 × 144,463,056
  4. Step 4: Simplify right side
    69,362,370x = 20,869,574,548,859,136
  5. Step 5: Solve for x
    x = 20,869,574,548,859,136/69,362,370
  6. Step 6: Final answer
    x = 300,877,472.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.