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Finding the Third Proportional to 2,309,618,312 and 5,389,295,636

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Solution

The third proportional to 2,309,618,312 and 5,389,295,636 is: 12,575,457,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,618,312 : 5,389,295,636 = 5,389,295,636 : x
  2. Step 2: Convert to fraction form
    2,309,618,312/5,389,295,636 = 5,389,295,636/x
  3. Step 3: Cross multiply
    2,309,618,312x = 5,389,295,636 × 5,389,295,636
  4. Step 4: Simplify right side
    2,309,618,312x = 29,044,507,452,208,644,096
  5. Step 5: Solve for x
    x = 29,044,507,452,208,644,096/2,309,618,312
  6. Step 6: Final answer
    x = 12,575,457,728.80

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.