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Finding the Third Proportional to 36,470,070 and 57,749,409

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Solution

The third proportional to 36,470,070 and 57,749,409 is: 91,444,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470,070 : 57,749,409 = 57,749,409 : x
  2. Step 2: Convert to fraction form
    36,470,070/57,749,409 = 57,749,409/x
  3. Step 3: Cross multiply
    36,470,070x = 57,749,409 × 57,749,409
  4. Step 4: Simplify right side
    36,470,070x = 3,334,994,239,849,281
  5. Step 5: Solve for x
    x = 3,334,994,239,849,281/36,470,070
  6. Step 6: Final answer
    x = 91,444,689.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.