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Finding the Third Proportional to 1,050,993,553 and 1,478,352,553.50

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Solution

The third proportional to 1,050,993,553 and 1,478,352,553.50 is: 2,079,485,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,993,553 : 1,478,352,553.50 = 1,478,352,553.50 : x
  2. Step 2: Convert to fraction form
    1,050,993,553/1,478,352,553.50 = 1,478,352,553.50/x
  3. Step 3: Cross multiply
    1,050,993,553x = 1,478,352,553.50 × 1,478,352,553.50
  4. Step 4: Simplify right side
    1,050,993,553x = 2,185,526,272,439,970,304
  5. Step 5: Solve for x
    x = 2,185,526,272,439,970,304/1,050,993,553
  6. Step 6: Final answer
    x = 2,079,485,898.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.