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Finding the Third Proportional to 9,506,537 and 20,528,097

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Solution

The third proportional to 9,506,537 and 20,528,097 is: 44,327,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,537 : 20,528,097 = 20,528,097 : x
  2. Step 2: Convert to fraction form
    9,506,537/20,528,097 = 20,528,097/x
  3. Step 3: Cross multiply
    9,506,537x = 20,528,097 × 20,528,097
  4. Step 4: Simplify right side
    9,506,537x = 421,402,766,441,409
  5. Step 5: Solve for x
    x = 421,402,766,441,409/9,506,537
  6. Step 6: Final answer
    x = 44,327,683.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.