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Finding the Third Proportional to 30,698,534 and 46,000,507

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Solution

The third proportional to 30,698,534 and 46,000,507 is: 68,929,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,534 : 46,000,507 = 46,000,507 : x
  2. Step 2: Convert to fraction form
    30,698,534/46,000,507 = 46,000,507/x
  3. Step 3: Cross multiply
    30,698,534x = 46,000,507 × 46,000,507
  4. Step 4: Simplify right side
    30,698,534x = 2,116,046,644,257,049
  5. Step 5: Solve for x
    x = 2,116,046,644,257,049/30,698,534
  6. Step 6: Final answer
    x = 68,929,892.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.