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Finding the Third Proportional to 16,782,970,826,679 and 36,521,214,902,852

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Solution

The third proportional to 16,782,970,826,679 and 36,521,214,902,852 is: 79,473,363,313,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782,970,826,679 : 36,521,214,902,852 = 36,521,214,902,852 : x
  2. Step 2: Convert to fraction form
    16,782,970,826,679/36,521,214,902,852 = 36,521,214,902,852/x
  3. Step 3: Cross multiply
    16,782,970,826,679x = 36,521,214,902,852 × 36,521,214,902,852
  4. Step 4: Simplify right side
    16,782,970,826,679x = 1,333,799,137,980,298,944,642,547,712
  5. Step 5: Solve for x
    x = 1,333,799,137,980,298,944,642,547,712/16,782,970,826,679
  6. Step 6: Final answer
    x = 79,473,363,313,009.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.