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Finding the Third Proportional to 771,835,478,792.50 and 1,167,680,080,011

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Solution

The third proportional to 771,835,478,792.50 and 1,167,680,080,011 is: 1,766,538,085,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,835,478,792.50 : 1,167,680,080,011 = 1,167,680,080,011 : x
  2. Step 2: Convert to fraction form
    771,835,478,792.50/1,167,680,080,011 = 1,167,680,080,011/x
  3. Step 3: Cross multiply
    771,835,478,792.50x = 1,167,680,080,011 × 1,167,680,080,011
  4. Step 4: Simplify right side
    771,835,478,792.50x = 1,363,476,769,254,495,265,751,040
  5. Step 5: Solve for x
    x = 1,363,476,769,254,495,265,751,040/771,835,478,792.50
  6. Step 6: Final answer
    x = 1,766,538,085,794.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.