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Finding the Third Proportional to 314,371,559,255 and 683,824,268,631

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Solution

The third proportional to 314,371,559,255 and 683,824,268,631 is: 1,487,461,624,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,371,559,255 : 683,824,268,631 = 683,824,268,631 : x
  2. Step 2: Convert to fraction form
    314,371,559,255/683,824,268,631 = 683,824,268,631/x
  3. Step 3: Cross multiply
    314,371,559,255x = 683,824,268,631 × 683,824,268,631
  4. Step 4: Simplify right side
    314,371,559,255x = 467,615,630,368,722,076,565,504
  5. Step 5: Solve for x
    x = 467,615,630,368,722,076,565,504/314,371,559,255
  6. Step 6: Final answer
    x = 1,487,461,624,953.86

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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.