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Finding the Third Proportional to 502,183,507.50 and 1,064,107,102.50

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Solution

The third proportional to 502,183,507.50 and 1,064,107,102.50 is: 2,254,801,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,183,507.50 : 1,064,107,102.50 = 1,064,107,102.50 : x
  2. Step 2: Convert to fraction form
    502,183,507.50/1,064,107,102.50 = 1,064,107,102.50/x
  3. Step 3: Cross multiply
    502,183,507.50x = 1,064,107,102.50 × 1,064,107,102.50
  4. Step 4: Simplify right side
    502,183,507.50x = 1,132,323,925,590,945,536
  5. Step 5: Solve for x
    x = 1,132,323,925,590,945,536/502,183,507.50
  6. Step 6: Final answer
    x = 2,254,801,100.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.