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Finding the Third Proportional to 4,482,345,942 and 6,698,814,264

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Solution

The third proportional to 4,482,345,942 and 6,698,814,264 is: 10,011,300,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,345,942 : 6,698,814,264 = 6,698,814,264 : x
  2. Step 2: Convert to fraction form
    4,482,345,942/6,698,814,264 = 6,698,814,264/x
  3. Step 3: Cross multiply
    4,482,345,942x = 6,698,814,264 × 6,698,814,264
  4. Step 4: Simplify right side
    4,482,345,942x = 44,874,112,543,569,862,656
  5. Step 5: Solve for x
    x = 44,874,112,543,569,862,656/4,482,345,942
  6. Step 6: Final answer
    x = 10,011,300,583.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.