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Finding the Third Proportional to 16,127,042,580 and 22,423,363,628

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Solution

The third proportional to 16,127,042,580 and 22,423,363,628 is: 31,177,894,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127,042,580 : 22,423,363,628 = 22,423,363,628 : x
  2. Step 2: Convert to fraction form
    16,127,042,580/22,423,363,628 = 22,423,363,628/x
  3. Step 3: Cross multiply
    16,127,042,580x = 22,423,363,628 × 22,423,363,628
  4. Step 4: Simplify right side
    16,127,042,580x = 502,807,236,393,513,320,448
  5. Step 5: Solve for x
    x = 502,807,236,393,513,320,448/16,127,042,580
  6. Step 6: Final answer
    x = 31,177,894,762.74

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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.