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Finding the Third Proportional to 69,766,718,580 and 153,040,424,220

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Solution

The third proportional to 69,766,718,580 and 153,040,424,220 is: 335,709,804,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,766,718,580 : 153,040,424,220 = 153,040,424,220 : x
  2. Step 2: Convert to fraction form
    69,766,718,580/153,040,424,220 = 153,040,424,220/x
  3. Step 3: Cross multiply
    69,766,718,580x = 153,040,424,220 × 153,040,424,220
  4. Step 4: Simplify right side
    69,766,718,580x = 23,421,371,445,437,563,666,432
  5. Step 5: Solve for x
    x = 23,421,371,445,437,563,666,432/69,766,718,580
  6. Step 6: Final answer
    x = 335,709,804,361.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.