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Finding the Third Proportional to 653,028,004 and 1,420,842,584

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Solution

The third proportional to 653,028,004 and 1,420,842,584 is: 3,091,435,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,028,004 : 1,420,842,584 = 1,420,842,584 : x
  2. Step 2: Convert to fraction form
    653,028,004/1,420,842,584 = 1,420,842,584/x
  3. Step 3: Cross multiply
    653,028,004x = 1,420,842,584 × 1,420,842,584
  4. Step 4: Simplify right side
    653,028,004x = 2,018,793,648,507,796,992
  5. Step 5: Solve for x
    x = 2,018,793,648,507,796,992/653,028,004
  6. Step 6: Final answer
    x = 3,091,435,032.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.