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Finding the Third Proportional to 471,878,964 and 732,662,769

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Solution

The third proportional to 471,878,964 and 732,662,769 is: 1,137,568,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,878,964 : 732,662,769 = 732,662,769 : x
  2. Step 2: Convert to fraction form
    471,878,964/732,662,769 = 732,662,769/x
  3. Step 3: Cross multiply
    471,878,964x = 732,662,769 × 732,662,769
  4. Step 4: Simplify right side
    471,878,964x = 536,794,733,078,747,392
  5. Step 5: Solve for x
    x = 536,794,733,078,747,392/471,878,964
  6. Step 6: Final answer
    x = 1,137,568,686.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.