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Finding the Third Proportional to 30,768,126 and 65,654,454

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Solution

The third proportional to 30,768,126 and 65,654,454 is: 140,096,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768,126 : 65,654,454 = 65,654,454 : x
  2. Step 2: Convert to fraction form
    30,768,126/65,654,454 = 65,654,454/x
  3. Step 3: Cross multiply
    30,768,126x = 65,654,454 × 65,654,454
  4. Step 4: Simplify right side
    30,768,126x = 4,310,507,330,038,116
  5. Step 5: Solve for x
    x = 4,310,507,330,038,116/30,768,126
  6. Step 6: Final answer
    x = 140,096,518.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.