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Finding the Third Proportional to 438,761,506,880 and 889,859,988,776

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Solution

The third proportional to 438,761,506,880 and 889,859,988,776 is: 1,804,740,815,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,761,506,880 : 889,859,988,776 = 889,859,988,776 : x
  2. Step 2: Convert to fraction form
    438,761,506,880/889,859,988,776 = 889,859,988,776/x
  3. Step 3: Cross multiply
    438,761,506,880x = 889,859,988,776 × 889,859,988,776
  4. Step 4: Simplify right side
    438,761,506,880x = 791,850,799,624,422,848,200,704
  5. Step 5: Solve for x
    x = 791,850,799,624,422,848,200,704/438,761,506,880
  6. Step 6: Final answer
    x = 1,804,740,815,244.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.