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Finding the Third Proportional to 17,849,970 and 38,671,101

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Solution

The third proportional to 17,849,970 and 38,671,101 is: 83,779,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849,970 : 38,671,101 = 38,671,101 : x
  2. Step 2: Convert to fraction form
    17,849,970/38,671,101 = 38,671,101/x
  3. Step 3: Cross multiply
    17,849,970x = 38,671,101 × 38,671,101
  4. Step 4: Simplify right side
    17,849,970x = 1,495,454,052,552,201
  5. Step 5: Solve for x
    x = 1,495,454,052,552,201/17,849,970
  6. Step 6: Final answer
    x = 83,779,079.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.