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Finding the Third Proportional to 4,714,592 and 10,292,784

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Solution

The third proportional to 4,714,592 and 10,292,784 is: 22,470,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,592 : 10,292,784 = 10,292,784 : x
  2. Step 2: Convert to fraction form
    4,714,592/10,292,784 = 10,292,784/x
  3. Step 3: Cross multiply
    4,714,592x = 10,292,784 × 10,292,784
  4. Step 4: Simplify right side
    4,714,592x = 105,941,402,470,656
  5. Step 5: Solve for x
    x = 105,941,402,470,656/4,714,592
  6. Step 6: Final answer
    x = 22,470,958.77

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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.