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Finding the Third Proportional to 612,528,825 and 941,500,678.50

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Solution

The third proportional to 612,528,825 and 941,500,678.50 is: 1,447,153,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,528,825 : 941,500,678.50 = 941,500,678.50 : x
  2. Step 2: Convert to fraction form
    612,528,825/941,500,678.50 = 941,500,678.50/x
  3. Step 3: Cross multiply
    612,528,825x = 941,500,678.50 × 941,500,678.50
  4. Step 4: Simplify right side
    612,528,825x = 886,423,527,615,960,320
  5. Step 5: Solve for x
    x = 886,423,527,615,960,320/612,528,825
  6. Step 6: Final answer
    x = 1,447,153,981.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.