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Finding the Third Proportional to 52,426,926 and 78,640,399

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Solution

The third proportional to 52,426,926 and 78,640,399 is: 117,960,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426,926 : 78,640,399 = 78,640,399 : x
  2. Step 2: Convert to fraction form
    52,426,926/78,640,399 = 78,640,399/x
  3. Step 3: Cross multiply
    52,426,926x = 78,640,399 × 78,640,399
  4. Step 4: Simplify right side
    52,426,926x = 6,184,312,354,879,201
  5. Step 5: Solve for x
    x = 6,184,312,354,879,201/52,426,926
  6. Step 6: Final answer
    x = 117,960,613.50

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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.