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Finding the Third Proportional to 5,416,022,564 and 11,793,549,592

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Solution

The third proportional to 5,416,022,564 and 11,793,549,592 is: 25,680,803,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,022,564 : 11,793,549,592 = 11,793,549,592 : x
  2. Step 2: Convert to fraction form
    5,416,022,564/11,793,549,592 = 11,793,549,592/x
  3. Step 3: Cross multiply
    5,416,022,564x = 11,793,549,592 × 11,793,549,592
  4. Step 4: Simplify right side
    5,416,022,564x = 139,087,811,978,963,369,984
  5. Step 5: Solve for x
    x = 139,087,811,978,963,369,984/5,416,022,564
  6. Step 6: Final answer
    x = 25,680,803,640.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.