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Finding the Third Proportional to 10,675,893,304.50 and 22,958,471,841

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Solution

The third proportional to 10,675,893,304.50 and 22,958,471,841 is: 49,372,114,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,893,304.50 : 22,958,471,841 = 22,958,471,841 : x
  2. Step 2: Convert to fraction form
    10,675,893,304.50/22,958,471,841 = 22,958,471,841/x
  3. Step 3: Cross multiply
    10,675,893,304.50x = 22,958,471,841 × 22,958,471,841
  4. Step 4: Simplify right side
    10,675,893,304.50x = 527,091,429,273,989,939,200
  5. Step 5: Solve for x
    x = 527,091,429,273,989,939,200/10,675,893,304.50
  6. Step 6: Final answer
    x = 49,372,114,748.64

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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.