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Finding the Third Proportional to 6,914,802,226 and 14,878,361,894

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Solution

The third proportional to 6,914,802,226 and 14,878,361,894 is: 32,013,302,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,802,226 : 14,878,361,894 = 14,878,361,894 : x
  2. Step 2: Convert to fraction form
    6,914,802,226/14,878,361,894 = 14,878,361,894/x
  3. Step 3: Cross multiply
    6,914,802,226x = 14,878,361,894 × 14,878,361,894
  4. Step 4: Simplify right side
    6,914,802,226x = 221,365,652,648,831,254,528
  5. Step 5: Solve for x
    x = 221,365,652,648,831,254,528/6,914,802,226
  6. Step 6: Final answer
    x = 32,013,302,103.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.