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Finding the Third Proportional to 934,081,539,408 and 2,039,380,602,768

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Solution

The third proportional to 934,081,539,408 and 2,039,380,602,768 is: 4,452,580,494,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,081,539,408 : 2,039,380,602,768 = 2,039,380,602,768 : x
  2. Step 2: Convert to fraction form
    934,081,539,408/2,039,380,602,768 = 2,039,380,602,768/x
  3. Step 3: Cross multiply
    934,081,539,408x = 2,039,380,602,768 × 2,039,380,602,768
  4. Step 4: Simplify right side
    934,081,539,408x = 4,159,073,242,946,371,204,415,488
  5. Step 5: Solve for x
    x = 4,159,073,242,946,371,204,415,488/934,081,539,408
  6. Step 6: Final answer
    x = 4,452,580,494,827.36

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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.