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Finding the Third Proportional to 6,427,668,107,825 and 13,877,838,531,430

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Solution

The third proportional to 6,427,668,107,825 and 13,877,838,531,430 is: 29,963,339,592,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427,668,107,825 : 13,877,838,531,430 = 13,877,838,531,430 : x
  2. Step 2: Convert to fraction form
    6,427,668,107,825/13,877,838,531,430 = 13,877,838,531,430/x
  3. Step 3: Cross multiply
    6,427,668,107,825x = 13,877,838,531,430 × 13,877,838,531,430
  4. Step 4: Simplify right side
    6,427,668,107,825x = 192,594,402,304,443,172,610,113,536
  5. Step 5: Solve for x
    x = 192,594,402,304,443,172,610,113,536/6,427,668,107,825
  6. Step 6: Final answer
    x = 29,963,339,592,780.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.