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Finding the Third Proportional to 525,888,380,999 and 1,148,599,584,364

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Solution

The third proportional to 525,888,380,999 and 1,148,599,584,364 is: 2,508,671,141,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,888,380,999 : 1,148,599,584,364 = 1,148,599,584,364 : x
  2. Step 2: Convert to fraction form
    525,888,380,999/1,148,599,584,364 = 1,148,599,584,364/x
  3. Step 3: Cross multiply
    525,888,380,999x = 1,148,599,584,364 × 1,148,599,584,364
  4. Step 4: Simplify right side
    525,888,380,999x = 1,319,281,005,201,153,467,613,184
  5. Step 5: Solve for x
    x = 1,319,281,005,201,153,467,613,184/525,888,380,999
  6. Step 6: Final answer
    x = 2,508,671,141,763.94

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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.