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Finding the Third Proportional to 423,857,430,534 and 651,499,259,661

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Solution

The third proportional to 423,857,430,534 and 651,499,259,661 is: 1,001,401,072,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,857,430,534 : 651,499,259,661 = 651,499,259,661 : x
  2. Step 2: Convert to fraction form
    423,857,430,534/651,499,259,661 = 651,499,259,661/x
  3. Step 3: Cross multiply
    423,857,430,534x = 651,499,259,661 × 651,499,259,661
  4. Step 4: Simplify right side
    423,857,430,534x = 424,451,285,338,831,124,955,136
  5. Step 5: Solve for x
    x = 424,451,285,338,831,124,955,136/423,857,430,534
  6. Step 6: Final answer
    x = 1,001,401,072,063.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.