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Finding the Third Proportional to 1,431,455,130 and 3,130,860,852

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Solution

The third proportional to 1,431,455,130 and 3,130,860,852 is: 6,847,779,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,455,130 : 3,130,860,852 = 3,130,860,852 : x
  2. Step 2: Convert to fraction form
    1,431,455,130/3,130,860,852 = 3,130,860,852/x
  3. Step 3: Cross multiply
    1,431,455,130x = 3,130,860,852 × 3,130,860,852
  4. Step 4: Simplify right side
    1,431,455,130x = 9,802,289,674,586,165,248
  5. Step 5: Solve for x
    x = 9,802,289,674,586,165,248/1,431,455,130
  6. Step 6: Final answer
    x = 6,847,779,905.32

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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.