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Finding the Third Proportional to 1,059,384,912.33 and 1,653,448,160.25

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Solution

The third proportional to 1,059,384,912.33 and 1,653,448,160.25 is: 2,580,639,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,384,912.33 : 1,653,448,160.25 = 1,653,448,160.25 : x
  2. Step 2: Convert to fraction form
    1,059,384,912.33/1,653,448,160.25 = 1,653,448,160.25/x
  3. Step 3: Cross multiply
    1,059,384,912.33x = 1,653,448,160.25 × 1,653,448,160.25
  4. Step 4: Simplify right side
    1,059,384,912.33x = 2,733,890,818,634,109,440
  5. Step 5: Solve for x
    x = 2,733,890,818,634,109,440/1,059,384,912.33
  6. Step 6: Final answer
    x = 2,580,639,753.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.