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Finding the Third Proportional to 838,024,924 and 1,975,457,952

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Solution

The third proportional to 838,024,924 and 1,975,457,952 is: 4,656,704,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,024,924 : 1,975,457,952 = 1,975,457,952 : x
  2. Step 2: Convert to fraction form
    838,024,924/1,975,457,952 = 1,975,457,952/x
  3. Step 3: Cross multiply
    838,024,924x = 1,975,457,952 × 1,975,457,952
  4. Step 4: Simplify right side
    838,024,924x = 3,902,434,120,120,034,304
  5. Step 5: Solve for x
    x = 3,902,434,120,120,034,304/838,024,924
  6. Step 6: Final answer
    x = 4,656,704,124.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.