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Finding the Third Proportional to 450,652,741.59 and 960,830,565.75

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Solution

The third proportional to 450,652,741.59 and 960,830,565.75 is: 2,048,573,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,652,741.59 : 960,830,565.75 = 960,830,565.75 : x
  2. Step 2: Convert to fraction form
    450,652,741.59/960,830,565.75 = 960,830,565.75/x
  3. Step 3: Cross multiply
    450,652,741.59x = 960,830,565.75 × 960,830,565.75
  4. Step 4: Simplify right side
    450,652,741.59x = 923,195,376,079,465,088
  5. Step 5: Solve for x
    x = 923,195,376,079,465,088/450,652,741.59
  6. Step 6: Final answer
    x = 2,048,573,748.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.