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Finding the Third Proportional to 326,806,822 and 705,258,960

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Solution

The third proportional to 326,806,822 and 705,258,960 is: 1,521,970,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,806,822 : 705,258,960 = 705,258,960 : x
  2. Step 2: Convert to fraction form
    326,806,822/705,258,960 = 705,258,960/x
  3. Step 3: Cross multiply
    326,806,822x = 705,258,960 × 705,258,960
  4. Step 4: Simplify right side
    326,806,822x = 497,390,200,660,281,600
  5. Step 5: Solve for x
    x = 497,390,200,660,281,600/326,806,822
  6. Step 6: Final answer
    x = 1,521,970,066.65

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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.