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Finding the Third Proportional to 1,993,900,242 and 4,363,076,004

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Solution

The third proportional to 1,993,900,242 and 4,363,076,004 is: 9,547,334,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,900,242 : 4,363,076,004 = 4,363,076,004 : x
  2. Step 2: Convert to fraction form
    1,993,900,242/4,363,076,004 = 4,363,076,004/x
  3. Step 3: Cross multiply
    1,993,900,242x = 4,363,076,004 × 4,363,076,004
  4. Step 4: Simplify right side
    1,993,900,242x = 19,036,432,216,680,607,744
  5. Step 5: Solve for x
    x = 19,036,432,216,680,607,744/1,993,900,242
  6. Step 6: Final answer
    x = 9,547,334,322.80

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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.