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Finding the Third Proportional to 960,528,644 and 2,094,493,168

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Solution

The third proportional to 960,528,644 and 2,094,493,168 is: 4,567,174,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,528,644 : 2,094,493,168 = 2,094,493,168 : x
  2. Step 2: Convert to fraction form
    960,528,644/2,094,493,168 = 2,094,493,168/x
  3. Step 3: Cross multiply
    960,528,644x = 2,094,493,168 × 2,094,493,168
  4. Step 4: Simplify right side
    960,528,644x = 4,386,901,630,798,675,968
  5. Step 5: Solve for x
    x = 4,386,901,630,798,675,968/960,528,644
  6. Step 6: Final answer
    x = 4,567,174,189.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.