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Finding the Third Proportional to 3,295,344,494 and 4,973,662,284

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Solution

The third proportional to 3,295,344,494 and 4,973,662,284 is: 7,506,746,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,344,494 : 4,973,662,284 = 4,973,662,284 : x
  2. Step 2: Convert to fraction form
    3,295,344,494/4,973,662,284 = 4,973,662,284/x
  3. Step 3: Cross multiply
    3,295,344,494x = 4,973,662,284 × 4,973,662,284
  4. Step 4: Simplify right side
    3,295,344,494x = 24,737,316,515,284,094,976
  5. Step 5: Solve for x
    x = 24,737,316,515,284,094,976/3,295,344,494
  6. Step 6: Final answer
    x = 7,506,746,733.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.