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Finding the Third Proportional to 646,853,860.13 and 1,407,042,575.63

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Solution

The third proportional to 646,853,860.13 and 1,407,042,575.63 is: 3,060,612,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,853,860.13 : 1,407,042,575.63 = 1,407,042,575.63 : x
  2. Step 2: Convert to fraction form
    646,853,860.13/1,407,042,575.63 = 1,407,042,575.63/x
  3. Step 3: Cross multiply
    646,853,860.13x = 1,407,042,575.63 × 1,407,042,575.63
  4. Step 4: Simplify right side
    646,853,860.13x = 1,979,768,809,621,433,856
  5. Step 5: Solve for x
    x = 1,979,768,809,621,433,856/646,853,860.13
  6. Step 6: Final answer
    x = 3,060,612,190.27

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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.