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Finding the Third Proportional to 30,877,704 and 45,418,428

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Solution

The third proportional to 30,877,704 and 45,418,428 is: 66,806,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877,704 : 45,418,428 = 45,418,428 : x
  2. Step 2: Convert to fraction form
    30,877,704/45,418,428 = 45,418,428/x
  3. Step 3: Cross multiply
    30,877,704x = 45,418,428 × 45,418,428
  4. Step 4: Simplify right side
    30,877,704x = 2,062,833,601,991,184
  5. Step 5: Solve for x
    x = 2,062,833,601,991,184/30,877,704
  6. Step 6: Final answer
    x = 66,806,573.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.