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Finding the Third Proportional to 29,830,664 and 45,149,308

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Solution

The third proportional to 29,830,664 and 45,149,308 is: 68,334,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830,664 : 45,149,308 = 45,149,308 : x
  2. Step 2: Convert to fraction form
    29,830,664/45,149,308 = 45,149,308/x
  3. Step 3: Cross multiply
    29,830,664x = 45,149,308 × 45,149,308
  4. Step 4: Simplify right side
    29,830,664x = 2,038,460,012,878,864
  5. Step 5: Solve for x
    x = 2,038,460,012,878,864/29,830,664
  6. Step 6: Final answer
    x = 68,334,382.80

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