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Finding the Third Proportional to 432,934,864.88 and 945,255,568.50

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Solution

The third proportional to 432,934,864.88 and 945,255,568.50 is: 2,063,839,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,934,864.88 : 945,255,568.50 = 945,255,568.50 : x
  2. Step 2: Convert to fraction form
    432,934,864.88/945,255,568.50 = 945,255,568.50/x
  3. Step 3: Cross multiply
    432,934,864.88x = 945,255,568.50 × 945,255,568.50
  4. Step 4: Simplify right side
    432,934,864.88x = 893,508,089,780,258,176
  5. Step 5: Solve for x
    x = 893,508,089,780,258,176/432,934,864.88
  6. Step 6: Final answer
    x = 2,063,839,534.01

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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.