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Finding the Third Proportional to 142,122,452,704 and 316,021,456,728

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Solution

The third proportional to 142,122,452,704 and 316,021,456,728 is: 702,700,799,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122,452,704 : 316,021,456,728 = 316,021,456,728 : x
  2. Step 2: Convert to fraction form
    142,122,452,704/316,021,456,728 = 316,021,456,728/x
  3. Step 3: Cross multiply
    142,122,452,704x = 316,021,456,728 × 316,021,456,728
  4. Step 4: Simplify right side
    142,122,452,704x = 99,869,561,112,487,184,564,224
  5. Step 5: Solve for x
    x = 99,869,561,112,487,184,564,224/142,122,452,704
  6. Step 6: Final answer
    x = 702,700,799,292.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.