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Finding the Third Proportional to 308,312,399 and 727,585,968

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Solution

The third proportional to 308,312,399 and 727,585,968 is: 1,717,029,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,312,399 : 727,585,968 = 727,585,968 : x
  2. Step 2: Convert to fraction form
    308,312,399/727,585,968 = 727,585,968/x
  3. Step 3: Cross multiply
    308,312,399x = 727,585,968 × 727,585,968
  4. Step 4: Simplify right side
    308,312,399x = 529,381,340,830,497,024
  5. Step 5: Solve for x
    x = 529,381,340,830,497,024/308,312,399
  6. Step 6: Final answer
    x = 1,717,029,034.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.