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Finding the Third Proportional to 476,343,632 and 1,031,840,834

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Solution

The third proportional to 476,343,632 and 1,031,840,834 is: 2,235,141,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,343,632 : 1,031,840,834 = 1,031,840,834 : x
  2. Step 2: Convert to fraction form
    476,343,632/1,031,840,834 = 1,031,840,834/x
  3. Step 3: Cross multiply
    476,343,632x = 1,031,840,834 × 1,031,840,834
  4. Step 4: Simplify right side
    476,343,632x = 1,064,695,506,709,815,552
  5. Step 5: Solve for x
    x = 1,064,695,506,709,815,552/476,343,632
  6. Step 6: Final answer
    x = 2,235,141,681.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.