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Finding the Third Proportional to 458,303,689 and 937,786,299

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Solution

The third proportional to 458,303,689 and 937,786,299 is: 1,918,909,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,303,689 : 937,786,299 = 937,786,299 : x
  2. Step 2: Convert to fraction form
    458,303,689/937,786,299 = 937,786,299/x
  3. Step 3: Cross multiply
    458,303,689x = 937,786,299 × 937,786,299
  4. Step 4: Simplify right side
    458,303,689x = 879,443,142,592,117,376
  5. Step 5: Solve for x
    x = 879,443,142,592,117,376/458,303,689
  6. Step 6: Final answer
    x = 1,918,909,150.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.