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Finding the Third Proportional to 493,547,998.50 and 1,072,056,569.63

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Solution

The third proportional to 493,547,998.50 and 1,072,056,569.63 is: 2,328,659,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,547,998.50 : 1,072,056,569.63 = 1,072,056,569.63 : x
  2. Step 2: Convert to fraction form
    493,547,998.50/1,072,056,569.63 = 1,072,056,569.63/x
  3. Step 3: Cross multiply
    493,547,998.50x = 1,072,056,569.63 × 1,072,056,569.63
  4. Step 4: Simplify right side
    493,547,998.50x = 1,149,305,288,476,122,496
  5. Step 5: Solve for x
    x = 1,149,305,288,476,122,496/493,547,998.50
  6. Step 6: Final answer
    x = 2,328,659,607.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.