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Finding the Third Proportional to 1,523,257,875 and 3,316,938,909

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Solution

The third proportional to 1,523,257,875 and 3,316,938,909 is: 7,222,732,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,257,875 : 3,316,938,909 = 3,316,938,909 : x
  2. Step 2: Convert to fraction form
    1,523,257,875/3,316,938,909 = 3,316,938,909/x
  3. Step 3: Cross multiply
    1,523,257,875x = 3,316,938,909 × 3,316,938,909
  4. Step 4: Simplify right side
    1,523,257,875x = 11,002,083,726,038,110,208
  5. Step 5: Solve for x
    x = 11,002,083,726,038,110,208/1,523,257,875
  6. Step 6: Final answer
    x = 7,222,732,215.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.