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Finding the Third Proportional to 4,778,382,988 and 6,643,959,596

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Solution

The third proportional to 4,778,382,988 and 6,643,959,596 is: 9,237,894,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778,382,988 : 6,643,959,596 = 6,643,959,596 : x
  2. Step 2: Convert to fraction form
    4,778,382,988/6,643,959,596 = 6,643,959,596/x
  3. Step 3: Cross multiply
    4,778,382,988x = 6,643,959,596 × 6,643,959,596
  4. Step 4: Simplify right side
    4,778,382,988x = 44,142,199,113,280,479,232
  5. Step 5: Solve for x
    x = 44,142,199,113,280,479,232/4,778,382,988
  6. Step 6: Final answer
    x = 9,237,894,748.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.