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Finding the Third Proportional to 15,730,968,696 and 33,705,745,266

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Solution

The third proportional to 15,730,968,696 and 33,705,745,266 is: 72,219,154,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730,968,696 : 33,705,745,266 = 33,705,745,266 : x
  2. Step 2: Convert to fraction form
    15,730,968,696/33,705,745,266 = 33,705,745,266/x
  3. Step 3: Cross multiply
    15,730,968,696x = 33,705,745,266 × 33,705,745,266
  4. Step 4: Simplify right side
    15,730,968,696x = 1,136,077,263,936,481,394,688
  5. Step 5: Solve for x
    x = 1,136,077,263,936,481,394,688/15,730,968,696
  6. Step 6: Final answer
    x = 72,219,154,833.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.