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Finding the Third Proportional to 42,514,059,312 and 91,337,341,878

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Solution

The third proportional to 42,514,059,312 and 91,337,341,878 is: 196,229,439,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,514,059,312 : 91,337,341,878 = 91,337,341,878 : x
  2. Step 2: Convert to fraction form
    42,514,059,312/91,337,341,878 = 91,337,341,878/x
  3. Step 3: Cross multiply
    42,514,059,312x = 91,337,341,878 × 91,337,341,878
  4. Step 4: Simplify right side
    42,514,059,312x = 8,342,510,021,338,652,999,680
  5. Step 5: Solve for x
    x = 8,342,510,021,338,652,999,680/42,514,059,312
  6. Step 6: Final answer
    x = 196,229,439,304.19

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