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Finding the Third Proportional to 1,974,690,157 and 4,112,824,256.50

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Solution

The third proportional to 1,974,690,157 and 4,112,824,256.50 is: 8,566,064,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,690,157 : 4,112,824,256.50 = 4,112,824,256.50 : x
  2. Step 2: Convert to fraction form
    1,974,690,157/4,112,824,256.50 = 4,112,824,256.50/x
  3. Step 3: Cross multiply
    1,974,690,157x = 4,112,824,256.50 × 4,112,824,256.50
  4. Step 4: Simplify right side
    1,974,690,157x = 16,915,323,364,854,777,856
  5. Step 5: Solve for x
    x = 16,915,323,364,854,777,856/1,974,690,157
  6. Step 6: Final answer
    x = 8,566,064,556.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.