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Finding the Third Proportional to 13,506,345 and 29,574,144

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Solution

The third proportional to 13,506,345 and 29,574,144 is: 64,756,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506,345 : 29,574,144 = 29,574,144 : x
  2. Step 2: Convert to fraction form
    13,506,345/29,574,144 = 29,574,144/x
  3. Step 3: Cross multiply
    13,506,345x = 29,574,144 × 29,574,144
  4. Step 4: Simplify right side
    13,506,345x = 874,629,993,332,736
  5. Step 5: Solve for x
    x = 874,629,993,332,736/13,506,345
  6. Step 6: Final answer
    x = 64,756,971.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.