Finding the Third Proportional to 76,454,127,834 and 106,303,353,560
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Solution
The third proportional to 76,454,127,834 and 106,303,353,560 is: 147,806,315,999.55
Step by Step Solution
- Step 1: Write the proportion equation
76,454,127,834 : 106,303,353,560 = 106,303,353,560 : x - Step 2: Convert to fraction form
76,454,127,834/106,303,353,560 = 106,303,353,560/x - Step 3: Cross multiply
76,454,127,834x = 106,303,353,560 × 106,303,353,560 - Step 4: Simplify right side
76,454,127,834x = 11,300,402,978,102,364,340,224 - Step 5: Solve for x
x = 11,300,402,978,102,364,340,224/76,454,127,834 - Step 6: Final answer
x = 147,806,315,999.55
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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.