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Finding the Third Proportional to 55,721,537,804 and 85,202,892,431

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Solution

The third proportional to 55,721,537,804 and 85,202,892,431 is: 130,282,349,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721,537,804 : 85,202,892,431 = 85,202,892,431 : x
  2. Step 2: Convert to fraction form
    55,721,537,804/85,202,892,431 = 85,202,892,431/x
  3. Step 3: Cross multiply
    55,721,537,804x = 85,202,892,431 × 85,202,892,431
  4. Step 4: Simplify right side
    55,721,537,804x = 7,259,532,878,608,557,146,112
  5. Step 5: Solve for x
    x = 7,259,532,878,608,557,146,112/55,721,537,804
  6. Step 6: Final answer
    x = 130,282,349,782.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.