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Finding the Third Proportional to 1,051,401,564 and 2,243,530,021.50

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Solution

The third proportional to 1,051,401,564 and 2,243,530,021.50 is: 4,787,349,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,401,564 : 2,243,530,021.50 = 2,243,530,021.50 : x
  2. Step 2: Convert to fraction form
    1,051,401,564/2,243,530,021.50 = 2,243,530,021.50/x
  3. Step 3: Cross multiply
    1,051,401,564x = 2,243,530,021.50 × 2,243,530,021.50
  4. Step 4: Simplify right side
    1,051,401,564x = 5,033,426,957,371,790,336
  5. Step 5: Solve for x
    x = 5,033,426,957,371,790,336/1,051,401,564
  6. Step 6: Final answer
    x = 4,787,349,695.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.