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Finding the Third Proportional to 53,137,545 and 86,768,826

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Solution

The third proportional to 53,137,545 and 86,768,826 is: 141,685,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,137,545 : 86,768,826 = 86,768,826 : x
  2. Step 2: Convert to fraction form
    53,137,545/86,768,826 = 86,768,826/x
  3. Step 3: Cross multiply
    53,137,545x = 86,768,826 × 86,768,826
  4. Step 4: Simplify right side
    53,137,545x = 7,528,829,165,418,276
  5. Step 5: Solve for x
    x = 7,528,829,165,418,276/53,137,545
  6. Step 6: Final answer
    x = 141,685,679.41

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