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Finding the Third Proportional to 123,401,673,813 and 250,273,121,850

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Solution

The third proportional to 123,401,673,813 and 250,273,121,850 is: 507,583,354,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,401,673,813 : 250,273,121,850 = 250,273,121,850 : x
  2. Step 2: Convert to fraction form
    123,401,673,813/250,273,121,850 = 250,273,121,850/x
  3. Step 3: Cross multiply
    123,401,673,813x = 250,273,121,850 × 250,273,121,850
  4. Step 4: Simplify right side
    123,401,673,813x = 62,636,635,520,544,943,374,336
  5. Step 5: Solve for x
    x = 62,636,635,520,544,943,374,336/123,401,673,813
  6. Step 6: Final answer
    x = 507,583,354,302.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.