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Finding the Third Proportional to 603,646,496 and 1,293,347,072

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Solution

The third proportional to 603,646,496 and 1,293,347,072 is: 2,771,069,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,646,496 : 1,293,347,072 = 1,293,347,072 : x
  2. Step 2: Convert to fraction form
    603,646,496/1,293,347,072 = 1,293,347,072/x
  3. Step 3: Cross multiply
    603,646,496x = 1,293,347,072 × 1,293,347,072
  4. Step 4: Simplify right side
    603,646,496x = 1,672,746,648,650,973,184
  5. Step 5: Solve for x
    x = 1,672,746,648,650,973,184/603,646,496
  6. Step 6: Final answer
    x = 2,771,069,922.11

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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.