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Finding the Third Proportional to 8,428,676,042,897 and 13,411,680,528,289

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Solution

The third proportional to 8,428,676,042,897 and 13,411,680,528,289 is: 21,340,620,244,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428,676,042,897 : 13,411,680,528,289 = 13,411,680,528,289 : x
  2. Step 2: Convert to fraction form
    8,428,676,042,897/13,411,680,528,289 = 13,411,680,528,289/x
  3. Step 3: Cross multiply
    8,428,676,042,897x = 13,411,680,528,289 × 13,411,680,528,289
  4. Step 4: Simplify right side
    8,428,676,042,897x = 179,873,174,592,886,324,154,335,232
  5. Step 5: Solve for x
    x = 179,873,174,592,886,324,154,335,232/8,428,676,042,897
  6. Step 6: Final answer
    x = 21,340,620,244,204.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.