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Finding the Third Proportional to 374,301,496.13 and 834,666,636.38

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Solution

The third proportional to 374,301,496.13 and 834,666,636.38 is: 1,861,249,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,301,496.13 : 834,666,636.38 = 834,666,636.38 : x
  2. Step 2: Convert to fraction form
    374,301,496.13/834,666,636.38 = 834,666,636.38/x
  3. Step 3: Cross multiply
    374,301,496.13x = 834,666,636.38 × 834,666,636.38
  4. Step 4: Simplify right side
    374,301,496.13x = 696,668,393,877,556,480
  5. Step 5: Solve for x
    x = 696,668,393,877,556,480/374,301,496.13
  6. Step 6: Final answer
    x = 1,861,249,289.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.