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Finding the Third Proportional to 4,651,433,894 and 7,149,581,256

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Solution

The third proportional to 4,651,433,894 and 7,149,581,256 is: 10,989,409,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,433,894 : 7,149,581,256 = 7,149,581,256 : x
  2. Step 2: Convert to fraction form
    4,651,433,894/7,149,581,256 = 7,149,581,256/x
  3. Step 3: Cross multiply
    4,651,433,894x = 7,149,581,256 × 7,149,581,256
  4. Step 4: Simplify right side
    4,651,433,894x = 51,116,512,136,146,534,400
  5. Step 5: Solve for x
    x = 51,116,512,136,146,534,400/4,651,433,894
  6. Step 6: Final answer
    x = 10,989,409,567.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.