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Finding the Third Proportional to 10,675,368,467 and 22,234,330,654.50

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Solution

The third proportional to 10,675,368,467 and 22,234,330,654.50 is: 46,308,983,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,368,467 : 22,234,330,654.50 = 22,234,330,654.50 : x
  2. Step 2: Convert to fraction form
    10,675,368,467/22,234,330,654.50 = 22,234,330,654.50/x
  3. Step 3: Cross multiply
    10,675,368,467x = 22,234,330,654.50 × 22,234,330,654.50
  4. Step 4: Simplify right side
    10,675,368,467x = 494,365,459,653,638,422,528
  5. Step 5: Solve for x
    x = 494,365,459,653,638,422,528/10,675,368,467
  6. Step 6: Final answer
    x = 46,308,983,261.97

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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.