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Finding the Third Proportional to 53,137,575 and 86,768,874

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Solution

The third proportional to 53,137,575 and 86,768,874 is: 141,685,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,137,575 : 86,768,874 = 86,768,874 : x
  2. Step 2: Convert to fraction form
    53,137,575/86,768,874 = 86,768,874/x
  3. Step 3: Cross multiply
    53,137,575x = 86,768,874 × 86,768,874
  4. Step 4: Simplify right side
    53,137,575x = 7,528,837,495,227,876
  5. Step 5: Solve for x
    x = 7,528,837,495,227,876/53,137,575
  6. Step 6: Final answer
    x = 141,685,756.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.