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Finding the Third Proportional to 1,177,840,798 and 2,551,977,752

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Solution

The third proportional to 1,177,840,798 and 2,551,977,752 is: 5,529,262,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,840,798 : 2,551,977,752 = 2,551,977,752 : x
  2. Step 2: Convert to fraction form
    1,177,840,798/2,551,977,752 = 2,551,977,752/x
  3. Step 3: Cross multiply
    1,177,840,798x = 2,551,977,752 × 2,551,977,752
  4. Step 4: Simplify right side
    1,177,840,798x = 6,512,590,446,702,973,952
  5. Step 5: Solve for x
    x = 6,512,590,446,702,973,952/1,177,840,798
  6. Step 6: Final answer
    x = 5,529,262,068.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.