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Finding the Third Proportional to 776,087,232 and 1,163,845,872

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Solution

The third proportional to 776,087,232 and 1,163,845,872 is: 1,745,341,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,087,232 : 1,163,845,872 = 1,163,845,872 : x
  2. Step 2: Convert to fraction form
    776,087,232/1,163,845,872 = 1,163,845,872/x
  3. Step 3: Cross multiply
    776,087,232x = 1,163,845,872 × 1,163,845,872
  4. Step 4: Simplify right side
    776,087,232x = 1,354,537,213,771,440,384
  5. Step 5: Solve for x
    x = 1,354,537,213,771,440,384/776,087,232
  6. Step 6: Final answer
    x = 1,745,341,448.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.