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Finding the Third Proportional to 46,126,824 and 64,883,184

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Solution

The third proportional to 46,126,824 and 64,883,184 is: 91,266,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,126,824 : 64,883,184 = 64,883,184 : x
  2. Step 2: Convert to fraction form
    46,126,824/64,883,184 = 64,883,184/x
  3. Step 3: Cross multiply
    46,126,824x = 64,883,184 × 64,883,184
  4. Step 4: Simplify right side
    46,126,824x = 4,209,827,565,977,856
  5. Step 5: Solve for x
    x = 4,209,827,565,977,856/46,126,824
  6. Step 6: Final answer
    x = 91,266,365.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.