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Finding the Third Proportional to 299,451,415,156.50 and 665,855,893,237.50

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Solution

The third proportional to 299,451,415,156.50 and 665,855,893,237.50 is: 1,480,587,661,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451,415,156.50 : 665,855,893,237.50 = 665,855,893,237.50 : x
  2. Step 2: Convert to fraction form
    299,451,415,156.50/665,855,893,237.50 = 665,855,893,237.50/x
  3. Step 3: Cross multiply
    299,451,415,156.50x = 665,855,893,237.50 × 665,855,893,237.50
  4. Step 4: Simplify right side
    299,451,415,156.50x = 443,364,070,559,108,988,665,856
  5. Step 5: Solve for x
    x = 443,364,070,559,108,988,665,856/299,451,415,156.50
  6. Step 6: Final answer
    x = 1,480,587,661,699.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.