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Finding the Third Proportional to 195,401,467,018 and 423,249,577,124

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Solution

The third proportional to 195,401,467,018 and 423,249,577,124 is: 916,780,243,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,401,467,018 : 423,249,577,124 = 423,249,577,124 : x
  2. Step 2: Convert to fraction form
    195,401,467,018/423,249,577,124 = 423,249,577,124/x
  3. Step 3: Cross multiply
    195,401,467,018x = 423,249,577,124 × 423,249,577,124
  4. Step 4: Simplify right side
    195,401,467,018x = 179,140,204,535,644,820,602,880
  5. Step 5: Solve for x
    x = 179,140,204,535,644,820,602,880/195,401,467,018
  6. Step 6: Final answer
    x = 916,780,243,615.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.