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Finding the Third Proportional to 336,705,837,951 and 732,685,482,005

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Solution

The third proportional to 336,705,837,951 and 732,685,482,005 is: 1,594,353,156,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,705,837,951 : 732,685,482,005 = 732,685,482,005 : x
  2. Step 2: Convert to fraction form
    336,705,837,951/732,685,482,005 = 732,685,482,005/x
  3. Step 3: Cross multiply
    336,705,837,951x = 732,685,482,005 × 732,685,482,005
  4. Step 4: Simplify right side
    336,705,837,951x = 536,828,015,540,899,153,969,152
  5. Step 5: Solve for x
    x = 536,828,015,540,899,153,969,152/336,705,837,951
  6. Step 6: Final answer
    x = 1,594,353,156,475.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.