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Finding the Third Proportional to 6,140,737,678 and 8,775,256,416

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Solution

The third proportional to 6,140,737,678 and 8,775,256,416 is: 12,540,044,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140,737,678 : 8,775,256,416 = 8,775,256,416 : x
  2. Step 2: Convert to fraction form
    6,140,737,678/8,775,256,416 = 8,775,256,416/x
  3. Step 3: Cross multiply
    6,140,737,678x = 8,775,256,416 × 8,775,256,416
  4. Step 4: Simplify right side
    6,140,737,678x = 77,005,125,166,549,172,224
  5. Step 5: Solve for x
    x = 77,005,125,166,549,172,224/6,140,737,678
  6. Step 6: Final answer
    x = 12,540,044,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.