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Finding the Third Proportional to 15,574,375,415,142 and 22,895,022,758,324

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Solution

The third proportional to 15,574,375,415,142 and 22,895,022,758,324 is: 33,656,699,105,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574,375,415,142 : 22,895,022,758,324 = 22,895,022,758,324 : x
  2. Step 2: Convert to fraction form
    15,574,375,415,142/22,895,022,758,324 = 22,895,022,758,324/x
  3. Step 3: Cross multiply
    15,574,375,415,142x = 22,895,022,758,324 × 22,895,022,758,324
  4. Step 4: Simplify right side
    15,574,375,415,142x = 524,182,067,104,173,887,898,779,648
  5. Step 5: Solve for x
    x = 524,182,067,104,173,887,898,779,648/15,574,375,415,142
  6. Step 6: Final answer
    x = 33,656,699,105,541.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.