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Finding the Third Proportional to 402,145,110,352 and 599,730,310,104

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Solution

The third proportional to 402,145,110,352 and 599,730,310,104 is: 894,394,673,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145,110,352 : 599,730,310,104 = 599,730,310,104 : x
  2. Step 2: Convert to fraction form
    402,145,110,352/599,730,310,104 = 599,730,310,104/x
  3. Step 3: Cross multiply
    402,145,110,352x = 599,730,310,104 × 599,730,310,104
  4. Step 4: Simplify right side
    402,145,110,352x = 359,676,444,857,439,977,734,144
  5. Step 5: Solve for x
    x = 359,676,444,857,439,977,734,144/402,145,110,352
  6. Step 6: Final answer
    x = 894,394,673,958.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.