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Finding the Third Proportional to 7,317,937,580 and 9,873,615,924

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Solution

The third proportional to 7,317,937,580 and 9,873,615,924 is: 13,321,826,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317,937,580 : 9,873,615,924 = 9,873,615,924 : x
  2. Step 2: Convert to fraction form
    7,317,937,580/9,873,615,924 = 9,873,615,924/x
  3. Step 3: Cross multiply
    7,317,937,580x = 9,873,615,924 × 9,873,615,924
  4. Step 4: Simplify right side
    7,317,937,580x = 97,488,291,414,666,379,264
  5. Step 5: Solve for x
    x = 97,488,291,414,666,379,264/7,317,937,580
  6. Step 6: Final answer
    x = 13,321,826,040.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.