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Finding the Third Proportional to 237,774,870 and 482,235,428

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Solution

The third proportional to 237,774,870 and 482,235,428 is: 978,030,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,774,870 : 482,235,428 = 482,235,428 : x
  2. Step 2: Convert to fraction form
    237,774,870/482,235,428 = 482,235,428/x
  3. Step 3: Cross multiply
    237,774,870x = 482,235,428 × 482,235,428
  4. Step 4: Simplify right side
    237,774,870x = 232,551,008,018,343,168
  5. Step 5: Solve for x
    x = 232,551,008,018,343,168/237,774,870
  6. Step 6: Final answer
    x = 978,030,218.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.