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Finding the Third Proportional to 47,239,698 and 70,859,547

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Solution

The third proportional to 47,239,698 and 70,859,547 is: 106,289,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239,698 : 70,859,547 = 70,859,547 : x
  2. Step 2: Convert to fraction form
    47,239,698/70,859,547 = 70,859,547/x
  3. Step 3: Cross multiply
    47,239,698x = 70,859,547 × 70,859,547
  4. Step 4: Simplify right side
    47,239,698x = 5,021,075,401,045,209
  5. Step 5: Solve for x
    x = 5,021,075,401,045,209/47,239,698
  6. Step 6: Final answer
    x = 106,289,320.50

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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.