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Finding the Third Proportional to 10,798,407,534 and 16,828,944,735

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Solution

The third proportional to 10,798,407,534 and 16,828,944,735 is: 26,227,328,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798,407,534 : 16,828,944,735 = 16,828,944,735 : x
  2. Step 2: Convert to fraction form
    10,798,407,534/16,828,944,735 = 16,828,944,735/x
  3. Step 3: Cross multiply
    10,798,407,534x = 16,828,944,735 × 16,828,944,735
  4. Step 4: Simplify right side
    10,798,407,534x = 283,213,380,893,684,236,288
  5. Step 5: Solve for x
    x = 283,213,380,893,684,236,288/10,798,407,534
  6. Step 6: Final answer
    x = 26,227,328,428.01

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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.