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Finding the Third Proportional to 9,852,837.47 and 15,689,870.86

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Solution

The third proportional to 9,852,837.47 and 15,689,870.86 is: 24,984,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852,837.47 : 15,689,870.86 = 15,689,870.86 : x
  2. Step 2: Convert to fraction form
    9,852,837.47/15,689,870.86 = 15,689,870.86/x
  3. Step 3: Cross multiply
    9,852,837.47x = 15,689,870.86 × 15,689,870.86
  4. Step 4: Simplify right side
    9,852,837.47x = 246,172,047,583,864.81
  5. Step 5: Solve for x
    x = 246,172,047,583,864.81/9,852,837.47
  6. Step 6: Final answer
    x = 24,984,888.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.