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Finding the Third Proportional to 361,024,512 and 550,001,664

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Solution

The third proportional to 361,024,512 and 550,001,664 is: 837,898,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,024,512 : 550,001,664 = 550,001,664 : x
  2. Step 2: Convert to fraction form
    361,024,512/550,001,664 = 550,001,664/x
  3. Step 3: Cross multiply
    361,024,512x = 550,001,664 × 550,001,664
  4. Step 4: Simplify right side
    361,024,512x = 302,501,830,402,768,896
  5. Step 5: Solve for x
    x = 302,501,830,402,768,896/361,024,512
  6. Step 6: Final answer
    x = 837,898,315.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.