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Finding the Third Proportional to 568,465,623 and 1,243,914,750

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Solution

The third proportional to 568,465,623 and 1,243,914,750 is: 2,721,930,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,465,623 : 1,243,914,750 = 1,243,914,750 : x
  2. Step 2: Convert to fraction form
    568,465,623/1,243,914,750 = 1,243,914,750/x
  3. Step 3: Cross multiply
    568,465,623x = 1,243,914,750 × 1,243,914,750
  4. Step 4: Simplify right side
    568,465,623x = 1,547,323,905,267,562,496
  5. Step 5: Solve for x
    x = 1,547,323,905,267,562,496/568,465,623
  6. Step 6: Final answer
    x = 2,721,930,478.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.