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Finding the Third Proportional to 277,487,277,136 and 441,536,807,521

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Solution

The third proportional to 277,487,277,136 and 441,536,807,521 is: 702,571,859,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487,277,136 : 441,536,807,521 = 441,536,807,521 : x
  2. Step 2: Convert to fraction form
    277,487,277,136/441,536,807,521 = 441,536,807,521/x
  3. Step 3: Cross multiply
    277,487,277,136x = 441,536,807,521 × 441,536,807,521
  4. Step 4: Simplify right side
    277,487,277,136x = 194,954,752,395,836,617,916,416
  5. Step 5: Solve for x
    x = 194,954,752,395,836,617,916,416/277,487,277,136
  6. Step 6: Final answer
    x = 702,571,859,899.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.