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Finding the Third Proportional to 4,062,306,913 and 5,613,185,307

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Solution

The third proportional to 4,062,306,913 and 5,613,185,307 is: 7,756,146,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062,306,913 : 5,613,185,307 = 5,613,185,307 : x
  2. Step 2: Convert to fraction form
    4,062,306,913/5,613,185,307 = 5,613,185,307/x
  3. Step 3: Cross multiply
    4,062,306,913x = 5,613,185,307 × 5,613,185,307
  4. Step 4: Simplify right side
    4,062,306,913x = 31,507,849,290,720,686,080
  5. Step 5: Solve for x
    x = 31,507,849,290,720,686,080/4,062,306,913
  6. Step 6: Final answer
    x = 7,756,146,929.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.