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Finding the Third Proportional to 7,878,204,182 and 17,063,756,140

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Solution

The third proportional to 7,878,204,182 and 17,063,756,140 is: 36,959,155,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,204,182 : 17,063,756,140 = 17,063,756,140 : x
  2. Step 2: Convert to fraction form
    7,878,204,182/17,063,756,140 = 17,063,756,140/x
  3. Step 3: Cross multiply
    7,878,204,182x = 17,063,756,140 × 17,063,756,140
  4. Step 4: Simplify right side
    7,878,204,182x = 291,171,773,605,387,698,176
  5. Step 5: Solve for x
    x = 291,171,773,605,387,698,176/7,878,204,182
  6. Step 6: Final answer
    x = 36,959,155,523.11

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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.