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Finding the Third Proportional to 577,013,389.50 and 1,360,757,911.50

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Solution

The third proportional to 577,013,389.50 and 1,360,757,911.50 is: 3,209,045,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,013,389.50 : 1,360,757,911.50 = 1,360,757,911.50 : x
  2. Step 2: Convert to fraction form
    577,013,389.50/1,360,757,911.50 = 1,360,757,911.50/x
  3. Step 3: Cross multiply
    577,013,389.50x = 1,360,757,911.50 × 1,360,757,911.50
  4. Step 4: Simplify right side
    577,013,389.50x = 1,851,662,093,709,841,920
  5. Step 5: Solve for x
    x = 1,851,662,093,709,841,920/577,013,389.50
  6. Step 6: Final answer
    x = 3,209,045,279.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.