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Finding the Third Proportional to 17,631,772,516 and 38,362,774,808

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Solution

The third proportional to 17,631,772,516 and 38,362,774,808 is: 83,468,777,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631,772,516 : 38,362,774,808 = 38,362,774,808 : x
  2. Step 2: Convert to fraction form
    17,631,772,516/38,362,774,808 = 38,362,774,808/x
  3. Step 3: Cross multiply
    17,631,772,516x = 38,362,774,808 × 38,362,774,808
  4. Step 4: Simplify right side
    17,631,772,516x = 1,471,702,490,969,319,407,616
  5. Step 5: Solve for x
    x = 1,471,702,490,969,319,407,616/17,631,772,516
  6. Step 6: Final answer
    x = 83,468,777,154.07

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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.