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Finding the Third Proportional to 15,909,837,984 and 22,121,363,664

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Solution

The third proportional to 15,909,837,984 and 22,121,363,664 is: 30,757,995,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909,837,984 : 22,121,363,664 = 22,121,363,664 : x
  2. Step 2: Convert to fraction form
    15,909,837,984/22,121,363,664 = 22,121,363,664/x
  3. Step 3: Cross multiply
    15,909,837,984x = 22,121,363,664 × 22,121,363,664
  4. Step 4: Simplify right side
    15,909,837,984x = 489,354,730,354,939,527,168
  5. Step 5: Solve for x
    x = 489,354,730,354,939,527,168/15,909,837,984
  6. Step 6: Final answer
    x = 30,757,995,829.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.