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Finding the Third Proportional to 10,675,368,468 and 22,234,330,655

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Solution

The third proportional to 10,675,368,468 and 22,234,330,655 is: 46,308,983,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,368,468 : 22,234,330,655 = 22,234,330,655 : x
  2. Step 2: Convert to fraction form
    10,675,368,468/22,234,330,655 = 22,234,330,655/x
  3. Step 3: Cross multiply
    10,675,368,468x = 22,234,330,655 × 22,234,330,655
  4. Step 4: Simplify right side
    10,675,368,468x = 494,365,459,675,872,755,712
  5. Step 5: Solve for x
    x = 494,365,459,675,872,755,712/10,675,368,468
  6. Step 6: Final answer
    x = 46,308,983,259.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.