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Finding the Third Proportional to 4,134,564,018 and 6,355,121,355

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Solution

The third proportional to 4,134,564,018 and 6,355,121,355 is: 9,768,277,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134,564,018 : 6,355,121,355 = 6,355,121,355 : x
  2. Step 2: Convert to fraction form
    4,134,564,018/6,355,121,355 = 6,355,121,355/x
  3. Step 3: Cross multiply
    4,134,564,018x = 6,355,121,355 × 6,355,121,355
  4. Step 4: Simplify right side
    4,134,564,018x = 40,387,567,436,777,037,824
  5. Step 5: Solve for x
    x = 40,387,567,436,777,037,824/4,134,564,018
  6. Step 6: Final answer
    x = 9,768,277,201.89

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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.