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Finding the Third Proportional to 7,016,075,534 and 9,531,632,469

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Solution

The third proportional to 7,016,075,534 and 9,531,632,469 is: 12,949,121,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016,075,534 : 9,531,632,469 = 9,531,632,469 : x
  2. Step 2: Convert to fraction form
    7,016,075,534/9,531,632,469 = 9,531,632,469/x
  3. Step 3: Cross multiply
    7,016,075,534x = 9,531,632,469 × 9,531,632,469
  4. Step 4: Simplify right side
    7,016,075,534x = 90,852,017,524,095,041,536
  5. Step 5: Solve for x
    x = 90,852,017,524,095,041,536/7,016,075,534
  6. Step 6: Final answer
    x = 12,949,121,924.90

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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.