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Finding the Third Proportional to 3,041,565,220,512 and 6,445,756,018,728

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Solution

The third proportional to 3,041,565,220,512 and 6,445,756,018,728 is: 13,659,996,626,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,565,220,512 : 6,445,756,018,728 = 6,445,756,018,728 : x
  2. Step 2: Convert to fraction form
    3,041,565,220,512/6,445,756,018,728 = 6,445,756,018,728/x
  3. Step 3: Cross multiply
    3,041,565,220,512x = 6,445,756,018,728 × 6,445,756,018,728
  4. Step 4: Simplify right side
    3,041,565,220,512x = 41,547,770,652,968,237,609,779,200
  5. Step 5: Solve for x
    x = 41,547,770,652,968,237,609,779,200/3,041,565,220,512
  6. Step 6: Final answer
    x = 13,659,996,626,991.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.