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Finding the Third Proportional to 266,369,968,618.50 and 546,860,985,258

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Solution

The third proportional to 266,369,968,618.50 and 546,860,985,258 is: 1,122,712,664,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,369,968,618.50 : 546,860,985,258 = 546,860,985,258 : x
  2. Step 2: Convert to fraction form
    266,369,968,618.50/546,860,985,258 = 546,860,985,258/x
  3. Step 3: Cross multiply
    266,369,968,618.50x = 546,860,985,258 × 546,860,985,258
  4. Step 4: Simplify right side
    266,369,968,618.50x = 299,056,937,197,350,504,366,080
  5. Step 5: Solve for x
    x = 299,056,937,197,350,504,366,080/266,369,968,618.50
  6. Step 6: Final answer
    x = 1,122,712,664,450.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.