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Finding the Third Proportional to 8,257,045,824,792 and 11,480,762,216,996

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Solution

The third proportional to 8,257,045,824,792 and 11,480,762,216,996 is: 15,963,082,182,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257,045,824,792 : 11,480,762,216,996 = 11,480,762,216,996 : x
  2. Step 2: Convert to fraction form
    8,257,045,824,792/11,480,762,216,996 = 11,480,762,216,996/x
  3. Step 3: Cross multiply
    8,257,045,824,792x = 11,480,762,216,996 × 11,480,762,216,996
  4. Step 4: Simplify right side
    8,257,045,824,792x = 131,807,901,083,202,903,974,346,752
  5. Step 5: Solve for x
    x = 131,807,901,083,202,903,974,346,752/8,257,045,824,792
  6. Step 6: Final answer
    x = 15,963,082,182,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.