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Finding the Third Proportional to 11,506,097.25 and 19,174,549.50

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Solution

The third proportional to 11,506,097.25 and 19,174,549.50 is: 31,953,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506,097.25 : 19,174,549.50 = 19,174,549.50 : x
  2. Step 2: Convert to fraction form
    11,506,097.25/19,174,549.50 = 19,174,549.50/x
  3. Step 3: Cross multiply
    11,506,097.25x = 19,174,549.50 × 19,174,549.50
  4. Step 4: Simplify right side
    11,506,097.25x = 367,663,348,527,950.25
  5. Step 5: Solve for x
    x = 367,663,348,527,950.25/11,506,097.25
  6. Step 6: Final answer
    x = 31,953,784.20

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.