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Finding the Third Proportional to 1,023,627,876 and 2,210,362,056

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Solution

The third proportional to 1,023,627,876 and 2,210,362,056 is: 4,772,926,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,627,876 : 2,210,362,056 = 2,210,362,056 : x
  2. Step 2: Convert to fraction form
    1,023,627,876/2,210,362,056 = 2,210,362,056/x
  3. Step 3: Cross multiply
    1,023,627,876x = 2,210,362,056 × 2,210,362,056
  4. Step 4: Simplify right side
    1,023,627,876x = 4,885,700,418,604,547,072
  5. Step 5: Solve for x
    x = 4,885,700,418,604,547,072/1,023,627,876
  6. Step 6: Final answer
    x = 4,772,926,307.65

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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.