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Finding the Third Proportional to 38,743,012,276 and 55,402,573,532

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Solution

The third proportional to 38,743,012,276 and 55,402,573,532 is: 79,225,774,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743,012,276 : 55,402,573,532 = 55,402,573,532 : x
  2. Step 2: Convert to fraction form
    38,743,012,276/55,402,573,532 = 55,402,573,532/x
  3. Step 3: Cross multiply
    38,743,012,276x = 55,402,573,532 × 55,402,573,532
  4. Step 4: Simplify right side
    38,743,012,276x = 3,069,445,153,968,666,705,920
  5. Step 5: Solve for x
    x = 3,069,445,153,968,666,705,920/38,743,012,276
  6. Step 6: Final answer
    x = 79,225,774,498.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.