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Finding the Third Proportional to 8,561,581,506 and 13,098,261,100

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Solution

The third proportional to 8,561,581,506 and 13,098,261,100 is: 20,038,872,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,581,506 : 13,098,261,100 = 13,098,261,100 : x
  2. Step 2: Convert to fraction form
    8,561,581,506/13,098,261,100 = 13,098,261,100/x
  3. Step 3: Cross multiply
    8,561,581,506x = 13,098,261,100 × 13,098,261,100
  4. Step 4: Simplify right side
    8,561,581,506x = 171,564,443,843,773,202,432
  5. Step 5: Solve for x
    x = 171,564,443,843,773,202,432/8,561,581,506
  6. Step 6: Final answer
    x = 20,038,872,925.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.