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Finding the Third Proportional to 721,814,827.31 and 1,547,224,653.56

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Solution

The third proportional to 721,814,827.31 and 1,547,224,653.56 is: 3,316,507,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,814,827.31 : 1,547,224,653.56 = 1,547,224,653.56 : x
  2. Step 2: Convert to fraction form
    721,814,827.31/1,547,224,653.56 = 1,547,224,653.56/x
  3. Step 3: Cross multiply
    721,814,827.31x = 1,547,224,653.56 × 1,547,224,653.56
  4. Step 4: Simplify right side
    721,814,827.31x = 2,393,904,128,591,598,080
  5. Step 5: Solve for x
    x = 2,393,904,128,591,598,080/721,814,827.31
  6. Step 6: Final answer
    x = 3,316,507,278.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.