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Finding the Third Proportional to 2,713,909,262.63 and 5,878,466,346.09

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Solution

The third proportional to 2,713,909,262.63 and 5,878,466,346.09 is: 12,733,058,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,909,262.63 : 5,878,466,346.09 = 5,878,466,346.09 : x
  2. Step 2: Convert to fraction form
    2,713,909,262.63/5,878,466,346.09 = 5,878,466,346.09/x
  3. Step 3: Cross multiply
    2,713,909,262.63x = 5,878,466,346.09 × 5,878,466,346.09
  4. Step 4: Simplify right side
    2,713,909,262.63x = 34,556,366,582,155,042,816
  5. Step 5: Solve for x
    x = 34,556,366,582,155,042,816/2,713,909,262.63
  6. Step 6: Final answer
    x = 12,733,058,933.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.