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Finding the Third Proportional to 35,224,848 and 53,748,357

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Solution

The third proportional to 35,224,848 and 53,748,357 is: 82,012,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224,848 : 53,748,357 = 53,748,357 : x
  2. Step 2: Convert to fraction form
    35,224,848/53,748,357 = 53,748,357/x
  3. Step 3: Cross multiply
    35,224,848x = 53,748,357 × 53,748,357
  4. Step 4: Simplify right side
    35,224,848x = 2,888,885,880,199,449
  5. Step 5: Solve for x
    x = 2,888,885,880,199,449/35,224,848
  6. Step 6: Final answer
    x = 82,012,728.07

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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.