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Finding the Third Proportional to 19,735,473 and 30,373,903.50

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Solution

The third proportional to 19,735,473 and 30,373,903.50 is: 46,746,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735,473 : 30,373,903.50 = 30,373,903.50 : x
  2. Step 2: Convert to fraction form
    19,735,473/30,373,903.50 = 30,373,903.50/x
  3. Step 3: Cross multiply
    19,735,473x = 30,373,903.50 × 30,373,903.50
  4. Step 4: Simplify right side
    19,735,473x = 922,574,013,827,312.25
  5. Step 5: Solve for x
    x = 922,574,013,827,312.25/19,735,473
  6. Step 6: Final answer
    x = 46,746,992.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.