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Finding the Third Proportional to 4,654,894,179.38 and 6,975,514,958.63

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Solution

The third proportional to 4,654,894,179.38 and 6,975,514,958.63 is: 10,453,042,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654,894,179.38 : 6,975,514,958.63 = 6,975,514,958.63 : x
  2. Step 2: Convert to fraction form
    4,654,894,179.38/6,975,514,958.63 = 6,975,514,958.63/x
  3. Step 3: Cross multiply
    4,654,894,179.38x = 6,975,514,958.63 × 6,975,514,958.63
  4. Step 4: Simplify right side
    4,654,894,179.38x = 48,657,808,938,001,137,664
  5. Step 5: Solve for x
    x = 48,657,808,938,001,137,664/4,654,894,179.38
  6. Step 6: Final answer
    x = 10,453,042,982.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.