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Finding the Third Proportional to 518,908,502 and 835,613,585.50

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Solution

The third proportional to 518,908,502 and 835,613,585.50 is: 1,345,613,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,908,502 : 835,613,585.50 = 835,613,585.50 : x
  2. Step 2: Convert to fraction form
    518,908,502/835,613,585.50 = 835,613,585.50/x
  3. Step 3: Cross multiply
    518,908,502x = 835,613,585.50 × 835,613,585.50
  4. Step 4: Simplify right side
    518,908,502x = 698,250,064,272,165,760
  5. Step 5: Solve for x
    x = 698,250,064,272,165,760/518,908,502
  6. Step 6: Final answer
    x = 1,345,613,073.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.