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Finding the Third Proportional to 1,161,083,820 and 2,506,873,560

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Solution

The third proportional to 1,161,083,820 and 2,506,873,560 is: 5,412,542,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,083,820 : 2,506,873,560 = 2,506,873,560 : x
  2. Step 2: Convert to fraction form
    1,161,083,820/2,506,873,560 = 2,506,873,560/x
  3. Step 3: Cross multiply
    1,161,083,820x = 2,506,873,560 × 2,506,873,560
  4. Step 4: Simplify right side
    1,161,083,820x = 6,284,415,045,827,074,048
  5. Step 5: Solve for x
    x = 6,284,415,045,827,074,048/1,161,083,820
  6. Step 6: Final answer
    x = 5,412,542,090.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.