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Finding the Third Proportional to 8,527,078,943 and 19,014,809,674

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Solution

The third proportional to 8,527,078,943 and 19,014,809,674 is: 42,401,740,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,078,943 : 19,014,809,674 = 19,014,809,674 : x
  2. Step 2: Convert to fraction form
    8,527,078,943/19,014,809,674 = 19,014,809,674/x
  3. Step 3: Cross multiply
    8,527,078,943x = 19,014,809,674 × 19,014,809,674
  4. Step 4: Simplify right side
    8,527,078,943x = 361,562,986,938,443,956,224
  5. Step 5: Solve for x
    x = 361,562,986,938,443,956,224/8,527,078,943
  6. Step 6: Final answer
    x = 42,401,740,309.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.