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Finding the Third Proportional to 17,959,693,687,062 and 36,871,483,055,916

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Solution

The third proportional to 17,959,693,687,062 and 36,871,483,055,916 is: 75,697,630,841,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959,693,687,062 : 36,871,483,055,916 = 36,871,483,055,916 : x
  2. Step 2: Convert to fraction form
    17,959,693,687,062/36,871,483,055,916 = 36,871,483,055,916/x
  3. Step 3: Cross multiply
    17,959,693,687,062x = 36,871,483,055,916 × 36,871,483,055,916
  4. Step 4: Simplify right side
    17,959,693,687,062x = 1,359,506,262,742,700,652,528,402,432
  5. Step 5: Solve for x
    x = 1,359,506,262,742,700,652,528,402,432/17,959,693,687,062
  6. Step 6: Final answer
    x = 75,697,630,841,113.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.