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Finding the Third Proportional to 7,281,060,139,083 and 15,843,880,167,724

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Solution

The third proportional to 7,281,060,139,083 and 15,843,880,167,724 is: 34,476,921,488,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281,060,139,083 : 15,843,880,167,724 = 15,843,880,167,724 : x
  2. Step 2: Convert to fraction form
    7,281,060,139,083/15,843,880,167,724 = 15,843,880,167,724/x
  3. Step 3: Cross multiply
    7,281,060,139,083x = 15,843,880,167,724 × 15,843,880,167,724
  4. Step 4: Simplify right side
    7,281,060,139,083x = 251,028,538,769,197,895,098,826,752
  5. Step 5: Solve for x
    x = 251,028,538,769,197,895,098,826,752/7,281,060,139,083
  6. Step 6: Final answer
    x = 34,476,921,488,635.48

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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.