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Finding the Third Proportional to 9,875,849,472 and 15,045,303,096

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Solution

The third proportional to 9,875,849,472 and 15,045,303,096 is: 22,920,675,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875,849,472 : 15,045,303,096 = 15,045,303,096 : x
  2. Step 2: Convert to fraction form
    9,875,849,472/15,045,303,096 = 15,045,303,096/x
  3. Step 3: Cross multiply
    9,875,849,472x = 15,045,303,096 × 15,045,303,096
  4. Step 4: Simplify right side
    9,875,849,472x = 226,361,145,250,507,194,368
  5. Step 5: Solve for x
    x = 226,361,145,250,507,194,368/9,875,849,472
  6. Step 6: Final answer
    x = 22,920,675,926.89

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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.