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Finding the Third Proportional to 777,708,464 and 1,835,854,280

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Solution

The third proportional to 777,708,464 and 1,835,854,280 is: 4,333,707,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,708,464 : 1,835,854,280 = 1,835,854,280 : x
  2. Step 2: Convert to fraction form
    777,708,464/1,835,854,280 = 1,835,854,280/x
  3. Step 3: Cross multiply
    777,708,464x = 1,835,854,280 × 1,835,854,280
  4. Step 4: Simplify right side
    777,708,464x = 3,370,360,937,394,318,336
  5. Step 5: Solve for x
    x = 3,370,360,937,394,318,336/777,708,464
  6. Step 6: Final answer
    x = 4,333,707,415.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.