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Finding the Third Proportional to 612,576,432 and 1,344,176,208

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Solution

The third proportional to 612,576,432 and 1,344,176,208 is: 2,949,525,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,576,432 : 1,344,176,208 = 1,344,176,208 : x
  2. Step 2: Convert to fraction form
    612,576,432/1,344,176,208 = 1,344,176,208/x
  3. Step 3: Cross multiply
    612,576,432x = 1,344,176,208 × 1,344,176,208
  4. Step 4: Simplify right side
    612,576,432x = 1,806,809,678,153,259,264
  5. Step 5: Solve for x
    x = 1,806,809,678,153,259,264/612,576,432
  6. Step 6: Final answer
    x = 2,949,525,289.86

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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.