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Finding the Third Proportional to 460,346,004 and 986,354,496

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Solution

The third proportional to 460,346,004 and 986,354,496 is: 2,113,399,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,346,004 : 986,354,496 = 986,354,496 : x
  2. Step 2: Convert to fraction form
    460,346,004/986,354,496 = 986,354,496/x
  3. Step 3: Cross multiply
    460,346,004x = 986,354,496 × 986,354,496
  4. Step 4: Simplify right side
    460,346,004x = 972,895,191,779,414,016
  5. Step 5: Solve for x
    x = 972,895,191,779,414,016/460,346,004
  6. Step 6: Final answer
    x = 2,113,399,884.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.