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Finding the Third Proportional to 6,564,924 and 10,547,991

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Solution

The third proportional to 6,564,924 and 10,547,991 is: 16,947,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,924 : 10,547,991 = 10,547,991 : x
  2. Step 2: Convert to fraction form
    6,564,924/10,547,991 = 10,547,991/x
  3. Step 3: Cross multiply
    6,564,924x = 10,547,991 × 10,547,991
  4. Step 4: Simplify right side
    6,564,924x = 111,260,114,136,081
  5. Step 5: Solve for x
    x = 111,260,114,136,081/6,564,924
  6. Step 6: Final answer
    x = 16,947,662.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.