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Finding the Third Proportional to 119,430,126,400 and 256,584,272,984

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Solution

The third proportional to 119,430,126,400 and 256,584,272,984 is: 551,246,918,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,430,126,400 : 256,584,272,984 = 256,584,272,984 : x
  2. Step 2: Convert to fraction form
    119,430,126,400/256,584,272,984 = 256,584,272,984/x
  3. Step 3: Cross multiply
    119,430,126,400x = 256,584,272,984 × 256,584,272,984
  4. Step 4: Simplify right side
    119,430,126,400x = 65,835,489,142,727,828,832,256
  5. Step 5: Solve for x
    x = 65,835,489,142,727,828,832,256/119,430,126,400
  6. Step 6: Final answer
    x = 551,246,918,405.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.