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Finding the Third Proportional to 1,087,476,951 and 1,610,830,203

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Solution

The third proportional to 1,087,476,951 and 1,610,830,203 is: 2,386,049,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,476,951 : 1,610,830,203 = 1,610,830,203 : x
  2. Step 2: Convert to fraction form
    1,087,476,951/1,610,830,203 = 1,610,830,203/x
  3. Step 3: Cross multiply
    1,087,476,951x = 1,610,830,203 × 1,610,830,203
  4. Step 4: Simplify right side
    1,087,476,951x = 2,594,773,942,897,021,440
  5. Step 5: Solve for x
    x = 2,594,773,942,897,021,440/1,087,476,951
  6. Step 6: Final answer
    x = 2,386,049,599.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.