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Finding the Third Proportional to 377,493,010.50 and 820,328,547

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Solution

The third proportional to 377,493,010.50 and 820,328,547 is: 1,782,652,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,493,010.50 : 820,328,547 = 820,328,547 : x
  2. Step 2: Convert to fraction form
    377,493,010.50/820,328,547 = 820,328,547/x
  3. Step 3: Cross multiply
    377,493,010.50x = 820,328,547 × 820,328,547
  4. Step 4: Simplify right side
    377,493,010.50x = 672,938,925,023,131,264
  5. Step 5: Solve for x
    x = 672,938,925,023,131,264/377,493,010.50
  6. Step 6: Final answer
    x = 1,782,652,675.16

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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.