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Finding the Third Proportional to 4,714,590 and 10,292,780

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Solution

The third proportional to 4,714,590 and 10,292,780 is: 22,470,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,590 : 10,292,780 = 10,292,780 : x
  2. Step 2: Convert to fraction form
    4,714,590/10,292,780 = 10,292,780/x
  3. Step 3: Cross multiply
    4,714,590x = 10,292,780 × 10,292,780
  4. Step 4: Simplify right side
    4,714,590x = 105,941,320,128,400
  5. Step 5: Solve for x
    x = 105,941,320,128,400/4,714,590
  6. Step 6: Final answer
    x = 22,470,950.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.