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Finding the Third Proportional to 3,445,281,234 and 7,557,521,652

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Solution

The third proportional to 3,445,281,234 and 7,557,521,652 is: 16,578,075,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445,281,234 : 7,557,521,652 = 7,557,521,652 : x
  2. Step 2: Convert to fraction form
    3,445,281,234/7,557,521,652 = 7,557,521,652/x
  3. Step 3: Cross multiply
    3,445,281,234x = 7,557,521,652 × 7,557,521,652
  4. Step 4: Simplify right side
    3,445,281,234x = 57,116,133,520,448,806,912
  5. Step 5: Solve for x
    x = 57,116,133,520,448,806,912/3,445,281,234
  6. Step 6: Final answer
    x = 16,578,075,820.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.