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Finding the Third Proportional to 134,604,008,024 and 290,699,684,870

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Solution

The third proportional to 134,604,008,024 and 290,699,684,870 is: 627,814,193,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,604,008,024 : 290,699,684,870 = 290,699,684,870 : x
  2. Step 2: Convert to fraction form
    134,604,008,024/290,699,684,870 = 290,699,684,870/x
  3. Step 3: Cross multiply
    134,604,008,024x = 290,699,684,870 × 290,699,684,870
  4. Step 4: Simplify right side
    134,604,008,024x = 84,506,306,783,517,303,898,112
  5. Step 5: Solve for x
    x = 84,506,306,783,517,303,898,112/134,604,008,024
  6. Step 6: Final answer
    x = 627,814,193,827.35

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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.