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Finding the Third Proportional to 5,206,561,590 and 7,931,658,633

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Solution

The third proportional to 5,206,561,590 and 7,931,658,633 is: 12,083,062,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,561,590 : 7,931,658,633 = 7,931,658,633 : x
  2. Step 2: Convert to fraction form
    5,206,561,590/7,931,658,633 = 7,931,658,633/x
  3. Step 3: Cross multiply
    5,206,561,590x = 7,931,658,633 × 7,931,658,633
  4. Step 4: Simplify right side
    5,206,561,590x = 62,911,208,670,443,429,888
  5. Step 5: Solve for x
    x = 62,911,208,670,443,429,888/5,206,561,590
  6. Step 6: Final answer
    x = 12,083,062,417.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.