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Finding the Third Proportional to 19,963,288,776 and 31,010,337,824

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Solution

The third proportional to 19,963,288,776 and 31,010,337,824 is: 48,170,472,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963,288,776 : 31,010,337,824 = 31,010,337,824 : x
  2. Step 2: Convert to fraction form
    19,963,288,776/31,010,337,824 = 31,010,337,824/x
  3. Step 3: Cross multiply
    19,963,288,776x = 31,010,337,824 × 31,010,337,824
  4. Step 4: Simplify right side
    19,963,288,776x = 961,641,051,958,605,119,488
  5. Step 5: Solve for x
    x = 961,641,051,958,605,119,488/19,963,288,776
  6. Step 6: Final answer
    x = 48,170,472,448.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.