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Finding the Third Proportional to 675,903,382,336.50 and 1,432,390,226,385

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Solution

The third proportional to 675,903,382,336.50 and 1,432,390,226,385 is: 3,035,554,806,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,903,382,336.50 : 1,432,390,226,385 = 1,432,390,226,385 : x
  2. Step 2: Convert to fraction form
    675,903,382,336.50/1,432,390,226,385 = 1,432,390,226,385/x
  3. Step 3: Cross multiply
    675,903,382,336.50x = 1,432,390,226,385 × 1,432,390,226,385
  4. Step 4: Simplify right side
    675,903,382,336.50x = 2,051,741,760,643,271,518,846,976
  5. Step 5: Solve for x
    x = 2,051,741,760,643,271,518,846,976/675,903,382,336.50
  6. Step 6: Final answer
    x = 3,035,554,806,000.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.