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Finding the Third Proportional to 14,226,068,798,024 and 19,194,307,011,816

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Solution

The third proportional to 14,226,068,798,024 and 19,194,307,011,816 is: 25,897,626,877,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226,068,798,024 : 19,194,307,011,816 = 19,194,307,011,816 : x
  2. Step 2: Convert to fraction form
    14,226,068,798,024/19,194,307,011,816 = 19,194,307,011,816/x
  3. Step 3: Cross multiply
    14,226,068,798,024x = 19,194,307,011,816 × 19,194,307,011,816
  4. Step 4: Simplify right side
    14,226,068,798,024x = 368,421,421,663,848,833,400,963,072
  5. Step 5: Solve for x
    x = 368,421,421,663,848,833,400,963,072/14,226,068,798,024
  6. Step 6: Final answer
    x = 25,897,626,877,428.19

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