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Finding the Third Proportional to 755,243,856 and 1,166,406,264

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Solution

The third proportional to 755,243,856 and 1,166,406,264 is: 1,801,409,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,243,856 : 1,166,406,264 = 1,166,406,264 : x
  2. Step 2: Convert to fraction form
    755,243,856/1,166,406,264 = 1,166,406,264/x
  3. Step 3: Cross multiply
    755,243,856x = 1,166,406,264 × 1,166,406,264
  4. Step 4: Simplify right side
    755,243,856x = 1,360,503,572,698,437,632
  5. Step 5: Solve for x
    x = 1,360,503,572,698,437,632/755,243,856
  6. Step 6: Final answer
    x = 1,801,409,653.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.