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Finding the Third Proportional to 9,830,054 and 14,745,082.50

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Solution

The third proportional to 9,830,054 and 14,745,082.50 is: 22,117,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,054 : 14,745,082.50 = 14,745,082.50 : x
  2. Step 2: Convert to fraction form
    9,830,054/14,745,082.50 = 14,745,082.50/x
  3. Step 3: Cross multiply
    9,830,054x = 14,745,082.50 × 14,745,082.50
  4. Step 4: Simplify right side
    9,830,054x = 217,417,457,931,806.25
  5. Step 5: Solve for x
    x = 217,417,457,931,806.25/9,830,054
  6. Step 6: Final answer
    x = 22,117,626.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.