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Finding the Third Proportional to 27,966,019,824 and 59,921,035,776

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Solution

The third proportional to 27,966,019,824 and 59,921,035,776 is: 128,389,043,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966,019,824 : 59,921,035,776 = 59,921,035,776 : x
  2. Step 2: Convert to fraction form
    27,966,019,824/59,921,035,776 = 59,921,035,776/x
  3. Step 3: Cross multiply
    27,966,019,824x = 59,921,035,776 × 59,921,035,776
  4. Step 4: Simplify right side
    27,966,019,824x = 3,590,530,528,468,671,660,032
  5. Step 5: Solve for x
    x = 3,590,530,528,468,671,660,032/27,966,019,824
  6. Step 6: Final answer
    x = 128,389,043,241.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.