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Finding the Third Proportional to 460,346,009.25 and 986,354,506.25

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Solution

The third proportional to 460,346,009.25 and 986,354,506.25 is: 2,113,399,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,346,009.25 : 986,354,506.25 = 986,354,506.25 : x
  2. Step 2: Convert to fraction form
    460,346,009.25/986,354,506.25 = 986,354,506.25/x
  3. Step 3: Cross multiply
    460,346,009.25x = 986,354,506.25 × 986,354,506.25
  4. Step 4: Simplify right side
    460,346,009.25x = 972,895,211,999,681,280
  5. Step 5: Solve for x
    x = 972,895,211,999,681,280/460,346,009.25
  6. Step 6: Final answer
    x = 2,113,399,904.53

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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.