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Finding the Third Proportional to 3,615,563,310,657 and 7,806,284,173,940

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Solution

The third proportional to 3,615,563,310,657 and 7,806,284,173,940 is: 16,854,378,520,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,563,310,657 : 7,806,284,173,940 = 7,806,284,173,940 : x
  2. Step 2: Convert to fraction form
    3,615,563,310,657/7,806,284,173,940 = 7,806,284,173,940/x
  3. Step 3: Cross multiply
    3,615,563,310,657x = 7,806,284,173,940 × 7,806,284,173,940
  4. Step 4: Simplify right side
    3,615,563,310,657x = 60,938,072,604,306,105,360,711,680
  5. Step 5: Solve for x
    x = 60,938,072,604,306,105,360,711,680/3,615,563,310,657
  6. Step 6: Final answer
    x = 16,854,378,520,959.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.