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Finding the Third Proportional to 5,334,775,799,256.20 and 7,197,865,129,426.50

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Solution

The third proportional to 5,334,775,799,256.20 and 7,197,865,129,426.50 is: 9,711,610,079,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334,775,799,256.20 : 7,197,865,129,426.50 = 7,197,865,129,426.50 : x
  2. Step 2: Convert to fraction form
    5,334,775,799,256.20/7,197,865,129,426.50 = 7,197,865,129,426.50/x
  3. Step 3: Cross multiply
    5,334,775,799,256.20x = 7,197,865,129,426.50 × 7,197,865,129,426.50
  4. Step 4: Simplify right side
    5,334,775,799,256.20x = 51,809,262,421,413,966,573,993,984
  5. Step 5: Solve for x
    x = 51,809,262,421,413,966,573,993,984/5,334,775,799,256.20
  6. Step 6: Final answer
    x = 9,711,610,079,028.53

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