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Finding the Third Proportional to 76,454,128,006 and 106,303,353,859

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Solution

The third proportional to 76,454,128,006 and 106,303,353,859 is: 147,806,316,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,128,006 : 106,303,353,859 = 106,303,353,859 : x
  2. Step 2: Convert to fraction form
    76,454,128,006/106,303,353,859 = 106,303,353,859/x
  3. Step 3: Cross multiply
    76,454,128,006x = 106,303,353,859 × 106,303,353,859
  4. Step 4: Simplify right side
    76,454,128,006x = 11,300,403,041,671,770,537,984
  5. Step 5: Solve for x
    x = 11,300,403,041,671,770,537,984/76,454,128,006
  6. Step 6: Final answer
    x = 147,806,316,498.50

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