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Finding the Third Proportional to 10,710,905 and 23,547,310

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Solution

The third proportional to 10,710,905 and 23,547,310 is: 51,767,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710,905 : 23,547,310 = 23,547,310 : x
  2. Step 2: Convert to fraction form
    10,710,905/23,547,310 = 23,547,310/x
  3. Step 3: Cross multiply
    10,710,905x = 23,547,310 × 23,547,310
  4. Step 4: Simplify right side
    10,710,905x = 554,475,808,236,100
  5. Step 5: Solve for x
    x = 554,475,808,236,100/10,710,905
  6. Step 6: Final answer
    x = 51,767,409.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.