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Finding the Third Proportional to 616,593,688 and 1,438,768,324

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Solution

The third proportional to 616,593,688 and 1,438,768,324 is: 3,357,242,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,593,688 : 1,438,768,324 = 1,438,768,324 : x
  2. Step 2: Convert to fraction form
    616,593,688/1,438,768,324 = 1,438,768,324/x
  3. Step 3: Cross multiply
    616,593,688x = 1,438,768,324 × 1,438,768,324
  4. Step 4: Simplify right side
    616,593,688x = 2,070,054,290,145,768,960
  5. Step 5: Solve for x
    x = 2,070,054,290,145,768,960/616,593,688
  6. Step 6: Final answer
    x = 3,357,242,103.56

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.