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Finding the Third Proportional to 326,806,810.50 and 705,258,937.50

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Solution

The third proportional to 326,806,810.50 and 705,258,937.50 is: 1,521,970,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,806,810.50 : 705,258,937.50 = 705,258,937.50 : x
  2. Step 2: Convert to fraction form
    326,806,810.50/705,258,937.50 = 705,258,937.50/x
  3. Step 3: Cross multiply
    326,806,810.50x = 705,258,937.50 × 705,258,937.50
  4. Step 4: Simplify right side
    326,806,810.50x = 497,390,168,923,628,928
  5. Step 5: Solve for x
    x = 497,390,168,923,628,928/326,806,810.50
  6. Step 6: Final answer
    x = 1,521,970,023.09

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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.