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Finding the Third Proportional to 4,772,808,556 and 9,681,707,833

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Solution

The third proportional to 4,772,808,556 and 9,681,707,833 is: 19,639,477,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772,808,556 : 9,681,707,833 = 9,681,707,833 : x
  2. Step 2: Convert to fraction form
    4,772,808,556/9,681,707,833 = 9,681,707,833/x
  3. Step 3: Cross multiply
    4,772,808,556x = 9,681,707,833 × 9,681,707,833
  4. Step 4: Simplify right side
    4,772,808,556x = 93,735,466,563,573,563,392
  5. Step 5: Solve for x
    x = 93,735,466,563,573,563,392/4,772,808,556
  6. Step 6: Final answer
    x = 19,639,477,566.25

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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.