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Finding the Third Proportional to 72,031,758 and 157,724,651

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Solution

The third proportional to 72,031,758 and 157,724,651 is: 345,362,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,758 : 157,724,651 = 157,724,651 : x
  2. Step 2: Convert to fraction form
    72,031,758/157,724,651 = 157,724,651/x
  3. Step 3: Cross multiply
    72,031,758x = 157,724,651 × 157,724,651
  4. Step 4: Simplify right side
    72,031,758x = 24,877,065,533,071,800
  5. Step 5: Solve for x
    x = 24,877,065,533,071,800/72,031,758
  6. Step 6: Final answer
    x = 345,362,465.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.