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Finding the Third Proportional to 56,809,721,712 and 123,507,479,136

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Solution

The third proportional to 56,809,721,712 and 123,507,479,136 is: 268,512,095,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,809,721,712 : 123,507,479,136 = 123,507,479,136 : x
  2. Step 2: Convert to fraction form
    56,809,721,712/123,507,479,136 = 123,507,479,136/x
  3. Step 3: Cross multiply
    56,809,721,712x = 123,507,479,136 × 123,507,479,136
  4. Step 4: Simplify right side
    56,809,721,712x = 15,254,097,402,529,476,247,552
  5. Step 5: Solve for x
    x = 15,254,097,402,529,476,247,552/56,809,721,712
  6. Step 6: Final answer
    x = 268,512,095,163.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.