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Finding the Third Proportional to 973,865,776.78 and 1,974,830,511.09

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Solution

The third proportional to 973,865,776.78 and 1,974,830,511.09 is: 4,004,612,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,865,776.78 : 1,974,830,511.09 = 1,974,830,511.09 : x
  2. Step 2: Convert to fraction form
    973,865,776.78/1,974,830,511.09 = 1,974,830,511.09/x
  3. Step 3: Cross multiply
    973,865,776.78x = 1,974,830,511.09 × 1,974,830,511.09
  4. Step 4: Simplify right side
    973,865,776.78x = 3,899,955,547,546,999,808
  5. Step 5: Solve for x
    x = 3,899,955,547,546,999,808/973,865,776.78
  6. Step 6: Final answer
    x = 4,004,612,997.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.