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Finding the Third Proportional to 58,668,975 and 83,775,262.50

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Solution

The third proportional to 58,668,975 and 83,775,262.50 is: 119,625,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,668,975 : 83,775,262.50 = 83,775,262.50 : x
  2. Step 2: Convert to fraction form
    58,668,975/83,775,262.50 = 83,775,262.50/x
  3. Step 3: Cross multiply
    58,668,975x = 83,775,262.50 × 83,775,262.50
  4. Step 4: Simplify right side
    58,668,975x = 7,018,294,606,943,906
  5. Step 5: Solve for x
    x = 7,018,294,606,943,906/58,668,975
  6. Step 6: Final answer
    x = 119,625,314.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.