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Finding the Third Proportional to 6,493,543,532 and 10,038,513,368

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Solution

The third proportional to 6,493,543,532 and 10,038,513,368 is: 15,518,761,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,543,532 : 10,038,513,368 = 10,038,513,368 : x
  2. Step 2: Convert to fraction form
    6,493,543,532/10,038,513,368 = 10,038,513,368/x
  3. Step 3: Cross multiply
    6,493,543,532x = 10,038,513,368 × 10,038,513,368
  4. Step 4: Simplify right side
    6,493,543,532x = 100,771,750,639,514,697,728
  5. Step 5: Solve for x
    x = 100,771,750,639,514,697,728/6,493,543,532
  6. Step 6: Final answer
    x = 15,518,761,080.59

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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.