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Finding the Third Proportional to 19,470,650 and 41,547,348

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Solution

The third proportional to 19,470,650 and 41,547,348 is: 88,655,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470,650 : 41,547,348 = 41,547,348 : x
  2. Step 2: Convert to fraction form
    19,470,650/41,547,348 = 41,547,348/x
  3. Step 3: Cross multiply
    19,470,650x = 41,547,348 × 41,547,348
  4. Step 4: Simplify right side
    19,470,650x = 1,726,182,125,833,104
  5. Step 5: Solve for x
    x = 1,726,182,125,833,104/19,470,650
  6. Step 6: Final answer
    x = 88,655,598.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.