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Finding the Third Proportional to 554,176,649 and 1,196,218,210

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Solution

The third proportional to 554,176,649 and 1,196,218,210 is: 2,582,097,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,176,649 : 1,196,218,210 = 1,196,218,210 : x
  2. Step 2: Convert to fraction form
    554,176,649/1,196,218,210 = 1,196,218,210/x
  3. Step 3: Cross multiply
    554,176,649x = 1,196,218,210 × 1,196,218,210
  4. Step 4: Simplify right side
    554,176,649x = 1,430,938,005,935,604,224
  5. Step 5: Solve for x
    x = 1,430,938,005,935,604,224/554,176,649
  6. Step 6: Final answer
    x = 2,582,097,258.19

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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.