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Finding the Third Proportional to 42,453,398 and 64,035,201

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Solution

The third proportional to 42,453,398 and 64,035,201 is: 96,588,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453,398 : 64,035,201 = 64,035,201 : x
  2. Step 2: Convert to fraction form
    42,453,398/64,035,201 = 64,035,201/x
  3. Step 3: Cross multiply
    42,453,398x = 64,035,201 × 64,035,201
  4. Step 4: Simplify right side
    42,453,398x = 4,100,506,967,110,401
  5. Step 5: Solve for x
    x = 4,100,506,967,110,401/42,453,398
  6. Step 6: Final answer
    x = 96,588,427.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.