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Finding the Third Proportional to 14,226,068,798,012 and 19,194,307,011,798

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Solution

The third proportional to 14,226,068,798,012 and 19,194,307,011,798 is: 25,897,626,877,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226,068,798,012 : 19,194,307,011,798 = 19,194,307,011,798 : x
  2. Step 2: Convert to fraction form
    14,226,068,798,012/19,194,307,011,798 = 19,194,307,011,798/x
  3. Step 3: Cross multiply
    14,226,068,798,012x = 19,194,307,011,798 × 19,194,307,011,798
  4. Step 4: Simplify right side
    14,226,068,798,012x = 368,421,421,663,157,859,062,382,592
  5. Step 5: Solve for x
    x = 368,421,421,663,157,859,062,382,592/14,226,068,798,012
  6. Step 6: Final answer
    x = 25,897,626,877,401.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.