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Finding the Third Proportional to 10,675,893,303 and 22,958,471,838

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Solution

The third proportional to 10,675,893,303 and 22,958,471,838 is: 49,372,114,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,893,303 : 22,958,471,838 = 22,958,471,838 : x
  2. Step 2: Convert to fraction form
    10,675,893,303/22,958,471,838 = 22,958,471,838/x
  3. Step 3: Cross multiply
    10,675,893,303x = 22,958,471,838 × 22,958,471,838
  4. Step 4: Simplify right side
    10,675,893,303x = 527,091,429,136,239,099,904
  5. Step 5: Solve for x
    x = 527,091,429,136,239,099,904/10,675,893,303
  6. Step 6: Final answer
    x = 49,372,114,742.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.