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Finding the Third Proportional to 10,465,615,567 and 16,086,401,470.50

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Solution

The third proportional to 10,465,615,567 and 16,086,401,470.50 is: 24,725,952,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,615,567 : 16,086,401,470.50 = 16,086,401,470.50 : x
  2. Step 2: Convert to fraction form
    10,465,615,567/16,086,401,470.50 = 16,086,401,470.50/x
  3. Step 3: Cross multiply
    10,465,615,567x = 16,086,401,470.50 × 16,086,401,470.50
  4. Step 4: Simplify right side
    10,465,615,567x = 258,772,312,270,104,559,616
  5. Step 5: Solve for x
    x = 258,772,312,270,104,559,616/10,465,615,567
  6. Step 6: Final answer
    x = 24,725,952,392.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.