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Finding the Third Proportional to 314,371,559,253 and 683,824,268,626.50

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Solution

The third proportional to 314,371,559,253 and 683,824,268,626.50 is: 1,487,461,624,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,371,559,253 : 683,824,268,626.50 = 683,824,268,626.50 : x
  2. Step 2: Convert to fraction form
    314,371,559,253/683,824,268,626.50 = 683,824,268,626.50/x
  3. Step 3: Cross multiply
    314,371,559,253x = 683,824,268,626.50 × 683,824,268,626.50
  4. Step 4: Simplify right side
    314,371,559,253x = 467,615,630,362,567,656,865,792
  5. Step 5: Solve for x
    x = 467,615,630,362,567,656,865,792/314,371,559,253
  6. Step 6: Final answer
    x = 1,487,461,624,943.75

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Why These Related Problems?

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