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Finding the Third Proportional to 677,955,784.50 and 959,570,671.50

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Solution

The third proportional to 677,955,784.50 and 959,570,671.50 is: 1,358,165,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,955,784.50 : 959,570,671.50 = 959,570,671.50 : x
  2. Step 2: Convert to fraction form
    677,955,784.50/959,570,671.50 = 959,570,671.50/x
  3. Step 3: Cross multiply
    677,955,784.50x = 959,570,671.50 × 959,570,671.50
  4. Step 4: Simplify right side
    677,955,784.50x = 920,775,873,602,960,896
  5. Step 5: Solve for x
    x = 920,775,873,602,960,896/677,955,784.50
  6. Step 6: Final answer
    x = 1,358,165,081.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.