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Finding the Third Proportional to 23,258,828,742 and 50,727,260,712

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Solution

The third proportional to 23,258,828,742 and 50,727,260,712 is: 110,635,621,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258,828,742 : 50,727,260,712 = 50,727,260,712 : x
  2. Step 2: Convert to fraction form
    23,258,828,742/50,727,260,712 = 50,727,260,712/x
  3. Step 3: Cross multiply
    23,258,828,742x = 50,727,260,712 × 50,727,260,712
  4. Step 4: Simplify right side
    23,258,828,742x = 2,573,254,979,343,218,638,848
  5. Step 5: Solve for x
    x = 2,573,254,979,343,218,638,848/23,258,828,742
  6. Step 6: Final answer
    x = 110,635,621,762.70

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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.