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Finding the Third Proportional to 4,930,684,749 and 10,559,533,635

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Solution

The third proportional to 4,930,684,749 and 10,559,533,635 is: 22,614,252,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930,684,749 : 10,559,533,635 = 10,559,533,635 : x
  2. Step 2: Convert to fraction form
    4,930,684,749/10,559,533,635 = 10,559,533,635/x
  3. Step 3: Cross multiply
    4,930,684,749x = 10,559,533,635 × 10,559,533,635
  4. Step 4: Simplify right side
    4,930,684,749x = 111,503,750,588,696,313,856
  5. Step 5: Solve for x
    x = 111,503,750,588,696,313,856/4,930,684,749
  6. Step 6: Final answer
    x = 22,614,252,637.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.