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Finding the Third Proportional to 433,719,160.03 and 660,748,045.78

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Solution

The third proportional to 433,719,160.03 and 660,748,045.78 is: 1,006,614,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,719,160.03 : 660,748,045.78 = 660,748,045.78 : x
  2. Step 2: Convert to fraction form
    433,719,160.03/660,748,045.78 = 660,748,045.78/x
  3. Step 3: Cross multiply
    433,719,160.03x = 660,748,045.78 × 660,748,045.78
  4. Step 4: Simplify right side
    433,719,160.03x = 436,587,980,003,740,864
  5. Step 5: Solve for x
    x = 436,587,980,003,740,864/433,719,160.03
  6. Step 6: Final answer
    x = 1,006,614,464.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.