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Finding the Third Proportional to 490,746,450,122.15 and 1,073,938,774,098.90

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Solution

The third proportional to 490,746,450,122.15 and 1,073,938,774,098.90 is: 2,350,184,072,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,746,450,122.15 : 1,073,938,774,098.90 = 1,073,938,774,098.90 : x
  2. Step 2: Convert to fraction form
    490,746,450,122.15/1,073,938,774,098.90 = 1,073,938,774,098.90/x
  3. Step 3: Cross multiply
    490,746,450,122.15x = 1,073,938,774,098.90 × 1,073,938,774,098.90
  4. Step 4: Simplify right side
    490,746,450,122.15x = 1,153,344,490,513,048,189,009,920
  5. Step 5: Solve for x
    x = 1,153,344,490,513,048,189,009,920/490,746,450,122.15
  6. Step 6: Final answer
    x = 2,350,184,072,092.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.