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Finding the Third Proportional to 266,414,830,261 and 575,291,564,032

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Solution

The third proportional to 266,414,830,261 and 575,291,564,032 is: 1,242,274,626,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,414,830,261 : 575,291,564,032 = 575,291,564,032 : x
  2. Step 2: Convert to fraction form
    266,414,830,261/575,291,564,032 = 575,291,564,032/x
  3. Step 3: Cross multiply
    266,414,830,261x = 575,291,564,032 × 575,291,564,032
  4. Step 4: Simplify right side
    266,414,830,261x = 330,960,383,646,384,756,097,024
  5. Step 5: Solve for x
    x = 330,960,383,646,384,756,097,024/266,414,830,261
  6. Step 6: Final answer
    x = 1,242,274,626,086.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.