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Finding the Third Proportional to 646,856,296 and 1,407,048,656

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Solution

The third proportional to 646,856,296 and 1,407,048,656 is: 3,060,627,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,856,296 : 1,407,048,656 = 1,407,048,656 : x
  2. Step 2: Convert to fraction form
    646,856,296/1,407,048,656 = 1,407,048,656/x
  3. Step 3: Cross multiply
    646,856,296x = 1,407,048,656 × 1,407,048,656
  4. Step 4: Simplify right side
    646,856,296x = 1,979,785,920,351,406,336
  5. Step 5: Solve for x
    x = 1,979,785,920,351,406,336/646,856,296
  6. Step 6: Final answer
    x = 3,060,627,117.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.