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Finding the Third Proportional to 297,108,806,433 and 652,585,491,307

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Solution

The third proportional to 297,108,806,433 and 652,585,491,307 is: 1,433,373,276,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,108,806,433 : 652,585,491,307 = 652,585,491,307 : x
  2. Step 2: Convert to fraction form
    297,108,806,433/652,585,491,307 = 652,585,491,307/x
  3. Step 3: Cross multiply
    297,108,806,433x = 652,585,491,307 × 652,585,491,307
  4. Step 4: Simplify right side
    297,108,806,433x = 425,867,823,464,398,549,155,840
  5. Step 5: Solve for x
    x = 425,867,823,464,398,549,155,840/297,108,806,433
  6. Step 6: Final answer
    x = 1,433,373,276,872.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.