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Finding the Third Proportional to 3,709,676,101.50 and 8,000,466,453

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Solution

The third proportional to 3,709,676,101.50 and 8,000,466,453 is: 17,254,191,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,676,101.50 : 8,000,466,453 = 8,000,466,453 : x
  2. Step 2: Convert to fraction form
    3,709,676,101.50/8,000,466,453 = 8,000,466,453/x
  3. Step 3: Cross multiply
    3,709,676,101.50x = 8,000,466,453 × 8,000,466,453
  4. Step 4: Simplify right side
    3,709,676,101.50x = 64,007,463,465,578,397,696
  5. Step 5: Solve for x
    x = 64,007,463,465,578,397,696/3,709,676,101.50
  6. Step 6: Final answer
    x = 17,254,191,933.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.