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Finding the Third Proportional to 616,593,854 and 1,438,768,676

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Solution

The third proportional to 616,593,854 and 1,438,768,676 is: 3,357,242,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,593,854 : 1,438,768,676 = 1,438,768,676 : x
  2. Step 2: Convert to fraction form
    616,593,854/1,438,768,676 = 1,438,768,676/x
  3. Step 3: Cross multiply
    616,593,854x = 1,438,768,676 × 1,438,768,676
  4. Step 4: Simplify right side
    616,593,854x = 2,070,055,303,038,792,960
  5. Step 5: Solve for x
    x = 2,070,055,303,038,792,960/616,593,854
  6. Step 6: Final answer
    x = 3,357,242,842.45

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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.