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Finding the Third Proportional to 34,692,444,724 and 46,808,253,126

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Solution

The third proportional to 34,692,444,724 and 46,808,253,126 is: 63,155,323,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692,444,724 : 46,808,253,126 = 46,808,253,126 : x
  2. Step 2: Convert to fraction form
    34,692,444,724/46,808,253,126 = 46,808,253,126/x
  3. Step 3: Cross multiply
    34,692,444,724x = 46,808,253,126 × 46,808,253,126
  4. Step 4: Simplify right side
    34,692,444,724x = 2,191,012,560,707,688,857,600
  5. Step 5: Solve for x
    x = 2,191,012,560,707,688,857,600/34,692,444,724
  6. Step 6: Final answer
    x = 63,155,323,245.12

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Why These Related Problems?

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