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Finding the Third Proportional to 838,024,920 and 1,975,457,943

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Solution

The third proportional to 838,024,920 and 1,975,457,943 is: 4,656,704,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,024,920 : 1,975,457,943 = 1,975,457,943 : x
  2. Step 2: Convert to fraction form
    838,024,920/1,975,457,943 = 1,975,457,943/x
  3. Step 3: Cross multiply
    838,024,920x = 1,975,457,943 × 1,975,457,943
  4. Step 4: Simplify right side
    838,024,920x = 3,902,434,084,561,791,488
  5. Step 5: Solve for x
    x = 3,902,434,084,561,791,488/838,024,920
  6. Step 6: Final answer
    x = 4,656,704,104.41

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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.