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Finding the Third Proportional to 646,856,298 and 1,407,048,660

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Solution

The third proportional to 646,856,298 and 1,407,048,660 is: 3,060,627,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,856,298 : 1,407,048,660 = 1,407,048,660 : x
  2. Step 2: Convert to fraction form
    646,856,298/1,407,048,660 = 1,407,048,660/x
  3. Step 3: Cross multiply
    646,856,298x = 1,407,048,660 × 1,407,048,660
  4. Step 4: Simplify right side
    646,856,298x = 1,979,785,931,607,795,712
  5. Step 5: Solve for x
    x = 1,979,785,931,607,795,712/646,856,298
  6. Step 6: Final answer
    x = 3,060,627,124.96

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Why These Related Problems?

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