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Finding the Third Proportional to 8,692,024,713.75 and 18,828,050,265

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Solution

The third proportional to 8,692,024,713.75 and 18,828,050,265 is: 40,783,993,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692,024,713.75 : 18,828,050,265 = 18,828,050,265 : x
  2. Step 2: Convert to fraction form
    8,692,024,713.75/18,828,050,265 = 18,828,050,265/x
  3. Step 3: Cross multiply
    8,692,024,713.75x = 18,828,050,265 × 18,828,050,265
  4. Step 4: Simplify right side
    8,692,024,713.75x = 354,495,476,781,366,575,104
  5. Step 5: Solve for x
    x = 354,495,476,781,366,575,104/8,692,024,713.75
  6. Step 6: Final answer
    x = 40,783,993,195.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.