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Finding the Third Proportional to 709,963,409.81 and 1,060,971,532.13

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Solution

The third proportional to 709,963,409.81 and 1,060,971,532.13 is: 1,585,519,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,963,409.81 : 1,060,971,532.13 = 1,060,971,532.13 : x
  2. Step 2: Convert to fraction form
    709,963,409.81/1,060,971,532.13 = 1,060,971,532.13/x
  3. Step 3: Cross multiply
    709,963,409.81x = 1,060,971,532.13 × 1,060,971,532.13
  4. Step 4: Simplify right side
    709,963,409.81x = 1,125,660,591,979,669,888
  5. Step 5: Solve for x
    x = 1,125,660,591,979,669,888/709,963,409.81
  6. Step 6: Final answer
    x = 1,585,519,163.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.