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Finding the Third Proportional to 436,643,575 and 946,960,007

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Solution

The third proportional to 436,643,575 and 946,960,007 is: 2,053,696,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643,575 : 946,960,007 = 946,960,007 : x
  2. Step 2: Convert to fraction form
    436,643,575/946,960,007 = 946,960,007/x
  3. Step 3: Cross multiply
    436,643,575x = 946,960,007 × 946,960,007
  4. Step 4: Simplify right side
    436,643,575x = 896,733,254,857,440,000
  5. Step 5: Solve for x
    x = 896,733,254,857,440,000/436,643,575
  6. Step 6: Final answer
    x = 2,053,696,209.45

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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.