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Finding the Third Proportional to 21,018,582 and 31,678,209

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Solution

The third proportional to 21,018,582 and 31,678,209 is: 47,743,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,582 : 31,678,209 = 31,678,209 : x
  2. Step 2: Convert to fraction form
    21,018,582/31,678,209 = 31,678,209/x
  3. Step 3: Cross multiply
    21,018,582x = 31,678,209 × 31,678,209
  4. Step 4: Simplify right side
    21,018,582x = 1,003,508,925,447,681
  5. Step 5: Solve for x
    x = 1,003,508,925,447,681/21,018,582
  6. Step 6: Final answer
    x = 47,743,892.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.