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Finding the Third Proportional to 603,646,498 and 1,293,347,076

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Solution

The third proportional to 603,646,498 and 1,293,347,076 is: 2,771,069,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,646,498 : 1,293,347,076 = 1,293,347,076 : x
  2. Step 2: Convert to fraction form
    603,646,498/1,293,347,076 = 1,293,347,076/x
  3. Step 3: Cross multiply
    603,646,498x = 1,293,347,076 × 1,293,347,076
  4. Step 4: Simplify right side
    603,646,498x = 1,672,746,658,997,749,760
  5. Step 5: Solve for x
    x = 1,672,746,658,997,749,760/603,646,498
  6. Step 6: Final answer
    x = 2,771,069,930.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.