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Finding the Third Proportional to 7,016,075,532 and 9,531,632,466

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Solution

The third proportional to 7,016,075,532 and 9,531,632,466 is: 12,949,121,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016,075,532 : 9,531,632,466 = 9,531,632,466 : x
  2. Step 2: Convert to fraction form
    7,016,075,532/9,531,632,466 = 9,531,632,466/x
  3. Step 3: Cross multiply
    7,016,075,532x = 9,531,632,466 × 9,531,632,466
  4. Step 4: Simplify right side
    7,016,075,532x = 90,852,017,466,905,247,744
  5. Step 5: Solve for x
    x = 90,852,017,466,905,247,744/7,016,075,532
  6. Step 6: Final answer
    x = 12,949,121,920.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.