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Finding the Third Proportional to 266,792,796 and 578,114,262

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Solution

The third proportional to 266,792,796 and 578,114,262 is: 1,252,717,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,792,796 : 578,114,262 = 578,114,262 : x
  2. Step 2: Convert to fraction form
    266,792,796/578,114,262 = 578,114,262/x
  3. Step 3: Cross multiply
    266,792,796x = 578,114,262 × 578,114,262
  4. Step 4: Simplify right side
    266,792,796x = 334,216,099,927,804,672
  5. Step 5: Solve for x
    x = 334,216,099,927,804,672/266,792,796
  6. Step 6: Final answer
    x = 1,252,717,857.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.