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Finding the Third Proportional to 57,034,346 and 123,159,556

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Solution

The third proportional to 57,034,346 and 123,159,556 is: 265,949,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034,346 : 123,159,556 = 123,159,556 : x
  2. Step 2: Convert to fraction form
    57,034,346/123,159,556 = 123,159,556/x
  3. Step 3: Cross multiply
    57,034,346x = 123,159,556 × 123,159,556
  4. Step 4: Simplify right side
    57,034,346x = 15,168,276,234,117,136
  5. Step 5: Solve for x
    x = 15,168,276,234,117,136/57,034,346
  6. Step 6: Final answer
    x = 265,949,858.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.