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Finding the Third Proportional to 14,782,090 and 31,607,028

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Solution

The third proportional to 14,782,090 and 31,607,028 is: 67,582,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782,090 : 31,607,028 = 31,607,028 : x
  2. Step 2: Convert to fraction form
    14,782,090/31,607,028 = 31,607,028/x
  3. Step 3: Cross multiply
    14,782,090x = 31,607,028 × 31,607,028
  4. Step 4: Simplify right side
    14,782,090x = 999,004,218,992,784
  5. Step 5: Solve for x
    x = 999,004,218,992,784/14,782,090
  6. Step 6: Final answer
    x = 67,582,068.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.