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Finding the Third Proportional to 11,693,872,017 and 19,196,779,801.50

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Solution

The third proportional to 11,693,872,017 and 19,196,779,801.50 is: 31,513,629,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693,872,017 : 19,196,779,801.50 = 19,196,779,801.50 : x
  2. Step 2: Convert to fraction form
    11,693,872,017/19,196,779,801.50 = 19,196,779,801.50/x
  3. Step 3: Cross multiply
    11,693,872,017x = 19,196,779,801.50 × 19,196,779,801.50
  4. Step 4: Simplify right side
    11,693,872,017x = 368,516,354,747,278,360,576
  5. Step 5: Solve for x
    x = 368,516,354,747,278,360,576/11,693,872,017
  6. Step 6: Final answer
    x = 31,513,629,891.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.