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Finding the Third Proportional to 237,010,496 and 508,966,736

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Solution

The third proportional to 237,010,496 and 508,966,736 is: 1,092,977,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,010,496 : 508,966,736 = 508,966,736 : x
  2. Step 2: Convert to fraction form
    237,010,496/508,966,736 = 508,966,736/x
  3. Step 3: Cross multiply
    237,010,496x = 508,966,736 × 508,966,736
  4. Step 4: Simplify right side
    237,010,496x = 259,047,138,354,493,696
  5. Step 5: Solve for x
    x = 259,047,138,354,493,696/237,010,496
  6. Step 6: Final answer
    x = 1,092,977,495.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.