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Finding the Third Proportional to 450,602,254,891 and 954,926,817,590

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Solution

The third proportional to 450,602,254,891 and 954,926,817,590 is: 2,023,703,204,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,602,254,891 : 954,926,817,590 = 954,926,817,590 : x
  2. Step 2: Convert to fraction form
    450,602,254,891/954,926,817,590 = 954,926,817,590/x
  3. Step 3: Cross multiply
    450,602,254,891x = 954,926,817,590 × 954,926,817,590
  4. Step 4: Simplify right side
    450,602,254,891x = 911,885,226,952,565,104,574,464
  5. Step 5: Solve for x
    x = 911,885,226,952,565,104,574,464/450,602,254,891
  6. Step 6: Final answer
    x = 2,023,703,204,000.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.