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Finding the Third Proportional to 547,536,635,746 and 804,903,143,930

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Solution

The third proportional to 547,536,635,746 and 804,903,143,930 is: 1,183,243,328,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,536,635,746 : 804,903,143,930 = 804,903,143,930 : x
  2. Step 2: Convert to fraction form
    547,536,635,746/804,903,143,930 = 804,903,143,930/x
  3. Step 3: Cross multiply
    547,536,635,746x = 804,903,143,930 × 804,903,143,930
  4. Step 4: Simplify right side
    547,536,635,746x = 647,869,071,108,398,265,663,488
  5. Step 5: Solve for x
    x = 647,869,071,108,398,265,663,488/547,536,635,746
  6. Step 6: Final answer
    x = 1,183,243,328,048.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.