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Finding the Third Proportional to 266,369,968,621 and 546,860,985,262

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Solution

The third proportional to 266,369,968,621 and 546,860,985,262 is: 1,122,712,664,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,369,968,621 : 546,860,985,262 = 546,860,985,262 : x
  2. Step 2: Convert to fraction form
    266,369,968,621/546,860,985,262 = 546,860,985,262/x
  3. Step 3: Cross multiply
    266,369,968,621x = 546,860,985,262 × 546,860,985,262
  4. Step 4: Simplify right side
    266,369,968,621x = 299,056,937,201,725,364,764,672
  5. Step 5: Solve for x
    x = 299,056,937,201,725,364,764,672/266,369,968,621
  6. Step 6: Final answer
    x = 1,122,712,664,456.68

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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.