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Finding the Third Proportional to 37,051,280,640 and 57,250,371,456

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Solution

The third proportional to 37,051,280,640 and 57,250,371,456 is: 88,461,315,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051,280,640 : 57,250,371,456 = 57,250,371,456 : x
  2. Step 2: Convert to fraction form
    37,051,280,640/57,250,371,456 = 57,250,371,456/x
  3. Step 3: Cross multiply
    37,051,280,640x = 57,250,371,456 × 57,250,371,456
  4. Step 4: Simplify right side
    37,051,280,640x = 3,277,605,031,849,979,543,552
  5. Step 5: Solve for x
    x = 3,277,605,031,849,979,543,552/37,051,280,640
  6. Step 6: Final answer
    x = 88,461,315,647.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.