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Finding the Third Proportional to 32,732,001,242 and 70,573,122,142

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Solution

The third proportional to 32,732,001,242 and 70,573,122,142 is: 152,161,963,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732,001,242 : 70,573,122,142 = 70,573,122,142 : x
  2. Step 2: Convert to fraction form
    32,732,001,242/70,573,122,142 = 70,573,122,142/x
  3. Step 3: Cross multiply
    32,732,001,242x = 70,573,122,142 × 70,573,122,142
  4. Step 4: Simplify right side
    32,732,001,242x = 4,980,565,568,869,650,923,520
  5. Step 5: Solve for x
    x = 4,980,565,568,869,650,923,520/32,732,001,242
  6. Step 6: Final answer
    x = 152,161,963,212.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.