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Finding the Third Proportional to 314,258,996 and 637,478,698

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Solution

The third proportional to 314,258,996 and 637,478,698 is: 1,293,134,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258,996 : 637,478,698 = 637,478,698 : x
  2. Step 2: Convert to fraction form
    314,258,996/637,478,698 = 637,478,698/x
  3. Step 3: Cross multiply
    314,258,996x = 637,478,698 × 637,478,698
  4. Step 4: Simplify right side
    314,258,996x = 406,379,090,403,775,232
  5. Step 5: Solve for x
    x = 406,379,090,403,775,232/314,258,996
  6. Step 6: Final answer
    x = 1,293,134,311.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.