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Finding the Third Proportional to 400,653,726.75 and 869,833,816.50

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Solution

The third proportional to 400,653,726.75 and 869,833,816.50 is: 1,888,440,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,653,726.75 : 869,833,816.50 = 869,833,816.50 : x
  2. Step 2: Convert to fraction form
    400,653,726.75/869,833,816.50 = 869,833,816.50/x
  3. Step 3: Cross multiply
    400,653,726.75x = 869,833,816.50 × 869,833,816.50
  4. Step 4: Simplify right side
    400,653,726.75x = 756,610,868,326,955,648
  5. Step 5: Solve for x
    x = 756,610,868,326,955,648/400,653,726.75
  6. Step 6: Final answer
    x = 1,888,440,860.05

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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.