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Finding the Third Proportional to 14,226,068,798,020 and 19,194,307,011,807

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Solution

The third proportional to 14,226,068,798,020 and 19,194,307,011,807 is: 25,897,626,877,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226,068,798,020 : 19,194,307,011,807 = 19,194,307,011,807 : x
  2. Step 2: Convert to fraction form
    14,226,068,798,020/19,194,307,011,807 = 19,194,307,011,807/x
  3. Step 3: Cross multiply
    14,226,068,798,020x = 19,194,307,011,807 × 19,194,307,011,807
  4. Step 4: Simplify right side
    14,226,068,798,020x = 368,421,421,663,503,380,591,411,200
  5. Step 5: Solve for x
    x = 368,421,421,663,503,380,591,411,200/14,226,068,798,020
  6. Step 6: Final answer
    x = 25,897,626,877,411.18

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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.