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Finding the Third Proportional to 426,799,968 and 640,199,911.50

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Solution

The third proportional to 426,799,968 and 640,199,911.50 is: 960,299,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,799,968 : 640,199,911.50 = 640,199,911.50 : x
  2. Step 2: Convert to fraction form
    426,799,968/640,199,911.50 = 640,199,911.50/x
  3. Step 3: Cross multiply
    426,799,968x = 640,199,911.50 × 640,199,911.50
  4. Step 4: Simplify right side
    426,799,968x = 409,855,926,684,607,808
  5. Step 5: Solve for x
    x = 409,855,926,684,607,808/426,799,968
  6. Step 6: Final answer
    x = 960,299,806.50

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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.