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Finding the Third Proportional to 10,574,205.75 and 15,931,316.63

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Solution

The third proportional to 10,574,205.75 and 15,931,316.63 is: 24,002,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574,205.75 : 15,931,316.63 = 15,931,316.63 : x
  2. Step 2: Convert to fraction form
    10,574,205.75/15,931,316.63 = 15,931,316.63/x
  3. Step 3: Cross multiply
    10,574,205.75x = 15,931,316.63 × 15,931,316.63
  4. Step 4: Simplify right side
    10,574,205.75x = 253,806,849,406,001.38
  5. Step 5: Solve for x
    x = 253,806,849,406,001.38/10,574,205.75
  6. Step 6: Final answer
    x = 24,002,450.44

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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.