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Finding the Third Proportional to 790,768,004 and 1,646,987,407

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Solution

The third proportional to 790,768,004 and 1,646,987,407 is: 3,430,294,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,768,004 : 1,646,987,407 = 1,646,987,407 : x
  2. Step 2: Convert to fraction form
    790,768,004/1,646,987,407 = 1,646,987,407/x
  3. Step 3: Cross multiply
    790,768,004x = 1,646,987,407 × 1,646,987,407
  4. Step 4: Simplify right side
    790,768,004x = 2,712,567,518,816,583,680
  5. Step 5: Solve for x
    x = 2,712,567,518,816,583,680/790,768,004
  6. Step 6: Final answer
    x = 3,430,294,985.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.