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Finding the Third Proportional to 46,580,593.50 and 70,523,707.50

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Solution

The third proportional to 46,580,593.50 and 70,523,707.50 is: 106,773,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,580,593.50 : 70,523,707.50 = 70,523,707.50 : x
  2. Step 2: Convert to fraction form
    46,580,593.50/70,523,707.50 = 70,523,707.50/x
  3. Step 3: Cross multiply
    46,580,593.50x = 70,523,707.50 × 70,523,707.50
  4. Step 4: Simplify right side
    46,580,593.50x = 4,973,593,319,545,556
  5. Step 5: Solve for x
    x = 4,973,593,319,545,556/46,580,593.50
  6. Step 6: Final answer
    x = 106,773,936.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.