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Finding the Third Proportional to 411,918,250.66 and 621,707,987.65

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Solution

The third proportional to 411,918,250.66 and 621,707,987.65 is: 938,343,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,918,250.66 : 621,707,987.65 = 621,707,987.65 : x
  2. Step 2: Convert to fraction form
    411,918,250.66/621,707,987.65 = 621,707,987.65/x
  3. Step 3: Cross multiply
    411,918,250.66x = 621,707,987.65 × 621,707,987.65
  4. Step 4: Simplify right side
    411,918,250.66x = 386,520,821,902,217,088
  5. Step 5: Solve for x
    x = 386,520,821,902,217,088/411,918,250.66
  6. Step 6: Final answer
    x = 938,343,521.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.