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Finding the Third Proportional to 31,060,715,496,804 and 67,527,714,553,992

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Solution

The third proportional to 31,060,715,496,804 and 67,527,714,553,992 is: 146,808,988,780,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060,715,496,804 : 67,527,714,553,992 = 67,527,714,553,992 : x
  2. Step 2: Convert to fraction form
    31,060,715,496,804/67,527,714,553,992 = 67,527,714,553,992/x
  3. Step 3: Cross multiply
    31,060,715,496,804x = 67,527,714,553,992 × 67,527,714,553,992
  4. Step 4: Simplify right side
    31,060,715,496,804x = 4,559,992,232,885,423,087,835,676,672
  5. Step 5: Solve for x
    x = 4,559,992,232,885,423,087,835,676,672/31,060,715,496,804
  6. Step 6: Final answer
    x = 146,808,988,780,526.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.