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Finding the Third Proportional to 2,756,378,385 and 4,136,583,505.50

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Solution

The third proportional to 2,756,378,385 and 4,136,583,505.50 is: 6,207,900,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,378,385 : 4,136,583,505.50 = 4,136,583,505.50 : x
  2. Step 2: Convert to fraction form
    2,756,378,385/4,136,583,505.50 = 4,136,583,505.50/x
  3. Step 3: Cross multiply
    2,756,378,385x = 4,136,583,505.50 × 4,136,583,505.50
  4. Step 4: Simplify right side
    2,756,378,385x = 17,111,323,097,974,669,312
  5. Step 5: Solve for x
    x = 17,111,323,097,974,669,312/2,756,378,385
  6. Step 6: Final answer
    x = 6,207,900,624.64

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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.