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Finding the Third Proportional to 5,206,561,588 and 7,931,658,630

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Solution

The third proportional to 5,206,561,588 and 7,931,658,630 is: 12,083,062,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,561,588 : 7,931,658,630 = 7,931,658,630 : x
  2. Step 2: Convert to fraction form
    5,206,561,588/7,931,658,630 = 7,931,658,630/x
  3. Step 3: Cross multiply
    5,206,561,588x = 7,931,658,630 × 7,931,658,630
  4. Step 4: Simplify right side
    5,206,561,588x = 62,911,208,622,853,480,448
  5. Step 5: Solve for x
    x = 62,911,208,622,853,480,448/5,206,561,588
  6. Step 6: Final answer
    x = 12,083,062,412.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.