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Finding the Third Proportional to 9,506,319.47 and 20,528,024.91

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Solution

The third proportional to 9,506,319.47 and 20,528,024.91 is: 44,328,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,319.47 : 20,528,024.91 = 20,528,024.91 : x
  2. Step 2: Convert to fraction form
    9,506,319.47/20,528,024.91 = 20,528,024.91/x
  3. Step 3: Cross multiply
    9,506,319.47x = 20,528,024.91 × 20,528,024.91
  4. Step 4: Simplify right side
    9,506,319.47x = 421,399,806,551,620.31
  5. Step 5: Solve for x
    x = 421,399,806,551,620.31/9,506,319.47
  6. Step 6: Final answer
    x = 44,328,386.81

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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.