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Finding the Third Proportional to 646,855,061.63 and 1,407,045,823.13

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Solution

The third proportional to 646,855,061.63 and 1,407,045,823.13 is: 3,060,620,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,855,061.63 : 1,407,045,823.13 = 1,407,045,823.13 : x
  2. Step 2: Convert to fraction form
    646,855,061.63/1,407,045,823.13 = 1,407,045,823.13/x
  3. Step 3: Cross multiply
    646,855,061.63x = 1,407,045,823.13 × 1,407,045,823.13
  4. Step 4: Simplify right side
    646,855,061.63x = 1,979,777,948,373,508,864
  5. Step 5: Solve for x
    x = 1,979,777,948,373,508,864/646,855,061.63
  6. Step 6: Final answer
    x = 3,060,620,633.31

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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.