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Finding the Third Proportional to 298,266,080 and 648,160,823

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Solution

The third proportional to 298,266,080 and 648,160,823 is: 1,408,515,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,266,080 : 648,160,823 = 648,160,823 : x
  2. Step 2: Convert to fraction form
    298,266,080/648,160,823 = 648,160,823/x
  3. Step 3: Cross multiply
    298,266,080x = 648,160,823 × 648,160,823
  4. Step 4: Simplify right side
    298,266,080x = 420,112,452,472,037,312
  5. Step 5: Solve for x
    x = 420,112,452,472,037,312/298,266,080
  6. Step 6: Final answer
    x = 1,408,515,686.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.