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Finding the Third Proportional to 1,987,138,745,272 and 4,322,444,761,712

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Solution

The third proportional to 1,987,138,745,272 and 4,322,444,761,712 is: 9,402,226,574,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,138,745,272 : 4,322,444,761,712 = 4,322,444,761,712 : x
  2. Step 2: Convert to fraction form
    1,987,138,745,272/4,322,444,761,712 = 4,322,444,761,712/x
  3. Step 3: Cross multiply
    1,987,138,745,272x = 4,322,444,761,712 × 4,322,444,761,712
  4. Step 4: Simplify right side
    1,987,138,745,272x = 18,683,528,718,051,508,840,562,688
  5. Step 5: Solve for x
    x = 18,683,528,718,051,508,840,562,688/1,987,138,745,272
  6. Step 6: Final answer
    x = 9,402,226,574,518.38

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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.