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Finding the Third Proportional to 1,358,432,130 and 2,934,974,726

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Solution

The third proportional to 1,358,432,130 and 2,934,974,726 is: 6,341,190,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,432,130 : 2,934,974,726 = 2,934,974,726 : x
  2. Step 2: Convert to fraction form
    1,358,432,130/2,934,974,726 = 2,934,974,726/x
  3. Step 3: Cross multiply
    1,358,432,130x = 2,934,974,726 × 2,934,974,726
  4. Step 4: Simplify right side
    1,358,432,130x = 8,614,076,642,258,775,040
  5. Step 5: Solve for x
    x = 8,614,076,642,258,775,040/1,358,432,130
  6. Step 6: Final answer
    x = 6,341,190,297.27

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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.