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Finding the Third Proportional to 314,258,998 and 637,478,702

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Solution

The third proportional to 314,258,998 and 637,478,702 is: 1,293,134,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258,998 : 637,478,702 = 637,478,702 : x
  2. Step 2: Convert to fraction form
    314,258,998/637,478,702 = 637,478,702/x
  3. Step 3: Cross multiply
    314,258,998x = 637,478,702 × 637,478,702
  4. Step 4: Simplify right side
    314,258,998x = 406,379,095,503,604,800
  5. Step 5: Solve for x
    x = 406,379,095,503,604,800/314,258,998
  6. Step 6: Final answer
    x = 1,293,134,319.43

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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.