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Finding the Third Proportional to 13,156,287,911 and 28,409,459,946

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Solution

The third proportional to 13,156,287,911 and 28,409,459,946 is: 61,346,895,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156,287,911 : 28,409,459,946 = 28,409,459,946 : x
  2. Step 2: Convert to fraction form
    13,156,287,911/28,409,459,946 = 28,409,459,946/x
  3. Step 3: Cross multiply
    13,156,287,911x = 28,409,459,946 × 28,409,459,946
  4. Step 4: Simplify right side
    13,156,287,911x = 807,097,414,423,378,264,064
  5. Step 5: Solve for x
    x = 807,097,414,423,378,264,064/13,156,287,911
  6. Step 6: Final answer
    x = 61,346,895,103.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.