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Finding the Third Proportional to 461,145,730.50 and 995,772,951

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Solution

The third proportional to 461,145,730.50 and 995,772,951 is: 2,150,217,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,145,730.50 : 995,772,951 = 995,772,951 : x
  2. Step 2: Convert to fraction form
    461,145,730.50/995,772,951 = 995,772,951/x
  3. Step 3: Cross multiply
    461,145,730.50x = 995,772,951 × 995,772,951
  4. Step 4: Simplify right side
    461,145,730.50x = 991,563,769,943,248,384
  5. Step 5: Solve for x
    x = 991,563,769,943,248,384/461,145,730.50
  6. Step 6: Final answer
    x = 2,150,217,825.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.