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Finding the Third Proportional to 4,480,733,649 and 6,473,329,006.50

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Solution

The third proportional to 4,480,733,649 and 6,473,329,006.50 is: 9,352,037,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,733,649 : 6,473,329,006.50 = 6,473,329,006.50 : x
  2. Step 2: Convert to fraction form
    4,480,733,649/6,473,329,006.50 = 6,473,329,006.50/x
  3. Step 3: Cross multiply
    4,480,733,649x = 6,473,329,006.50 × 6,473,329,006.50
  4. Step 4: Simplify right side
    4,480,733,649x = 41,903,988,426,394,279,936
  5. Step 5: Solve for x
    x = 41,903,988,426,394,279,936/4,480,733,649
  6. Step 6: Final answer
    x = 9,352,037,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.