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Finding the Third Proportional to 3,943,365,684 and 6,125,498,829

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Solution

The third proportional to 3,943,365,684 and 6,125,498,829 is: 9,515,155,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943,365,684 : 6,125,498,829 = 6,125,498,829 : x
  2. Step 2: Convert to fraction form
    3,943,365,684/6,125,498,829 = 6,125,498,829/x
  3. Step 3: Cross multiply
    3,943,365,684x = 6,125,498,829 × 6,125,498,829
  4. Step 4: Simplify right side
    3,943,365,684x = 37,521,735,904,080,371,712
  5. Step 5: Solve for x
    x = 37,521,735,904,080,371,712/3,943,365,684
  6. Step 6: Final answer
    x = 9,515,155,050.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.