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Finding the Third Proportional to 13,157,964 and 19,736,946

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Solution

The third proportional to 13,157,964 and 19,736,946 is: 29,605,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157,964 : 19,736,946 = 19,736,946 : x
  2. Step 2: Convert to fraction form
    13,157,964/19,736,946 = 19,736,946/x
  3. Step 3: Cross multiply
    13,157,964x = 19,736,946 × 19,736,946
  4. Step 4: Simplify right side
    13,157,964x = 389,547,037,406,916
  5. Step 5: Solve for x
    x = 389,547,037,406,916/13,157,964
  6. Step 6: Final answer
    x = 29,605,419

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.