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Finding the Third Proportional to 9,191,643 and 14,547,822

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Solution

The third proportional to 9,191,643 and 14,547,822 is: 23,025,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191,643 : 14,547,822 = 14,547,822 : x
  2. Step 2: Convert to fraction form
    9,191,643/14,547,822 = 14,547,822/x
  3. Step 3: Cross multiply
    9,191,643x = 14,547,822 × 14,547,822
  4. Step 4: Simplify right side
    9,191,643x = 211,639,124,943,684
  5. Step 5: Solve for x
    x = 211,639,124,943,684/9,191,643
  6. Step 6: Final answer
    x = 23,025,168.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.