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Finding the Third Proportional to 234,846,706 and 499,926,500

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Solution

The third proportional to 234,846,706 and 499,926,500 is: 1,064,211,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,846,706 : 499,926,500 = 499,926,500 : x
  2. Step 2: Convert to fraction form
    234,846,706/499,926,500 = 499,926,500/x
  3. Step 3: Cross multiply
    234,846,706x = 499,926,500 × 499,926,500
  4. Step 4: Simplify right side
    234,846,706x = 249,926,505,402,249,984
  5. Step 5: Solve for x
    x = 249,926,505,402,249,984/234,846,706
  6. Step 6: Final answer
    x = 1,064,211,245.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.