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Finding the Third Proportional to 42,859,735 and 64,688,183

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Solution

The third proportional to 42,859,735 and 64,688,183 is: 97,633,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,859,735 : 64,688,183 = 64,688,183 : x
  2. Step 2: Convert to fraction form
    42,859,735/64,688,183 = 64,688,183/x
  3. Step 3: Cross multiply
    42,859,735x = 64,688,183 × 64,688,183
  4. Step 4: Simplify right side
    42,859,735x = 4,184,561,019,841,489
  5. Step 5: Solve for x
    x = 4,184,561,019,841,489/42,859,735
  6. Step 6: Final answer
    x = 97,633,851.91

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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.