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Finding the Third Proportional to 2,991,780,078 and 4,470,925,473

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Solution

The third proportional to 2,991,780,078 and 4,470,925,473 is: 6,681,364,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991,780,078 : 4,470,925,473 = 4,470,925,473 : x
  2. Step 2: Convert to fraction form
    2,991,780,078/4,470,925,473 = 4,470,925,473/x
  3. Step 3: Cross multiply
    2,991,780,078x = 4,470,925,473 × 4,470,925,473
  4. Step 4: Simplify right side
    2,991,780,078x = 19,989,174,585,120,272,384
  5. Step 5: Solve for x
    x = 19,989,174,585,120,272,384/2,991,780,078
  6. Step 6: Final answer
    x = 6,681,364,961.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.