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Finding the Third Proportional to 4,786,391,412 and 7,352,483,292

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Solution

The third proportional to 4,786,391,412 and 7,352,483,292 is: 11,294,314,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,391,412 : 7,352,483,292 = 7,352,483,292 : x
  2. Step 2: Convert to fraction form
    4,786,391,412/7,352,483,292 = 7,352,483,292/x
  3. Step 3: Cross multiply
    4,786,391,412x = 7,352,483,292 × 7,352,483,292
  4. Step 4: Simplify right side
    4,786,391,412x = 54,059,010,559,139,160,064
  5. Step 5: Solve for x
    x = 54,059,010,559,139,160,064/4,786,391,412
  6. Step 6: Final answer
    x = 11,294,314,632.02

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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.