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Finding the Third Proportional to 6,746,547 and 14,570,287

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Solution

The third proportional to 6,746,547 and 14,570,287 is: 31,466,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,547 : 14,570,287 = 14,570,287 : x
  2. Step 2: Convert to fraction form
    6,746,547/14,570,287 = 14,570,287/x
  3. Step 3: Cross multiply
    6,746,547x = 14,570,287 × 14,570,287
  4. Step 4: Simplify right side
    6,746,547x = 212,293,263,262,369
  5. Step 5: Solve for x
    x = 212,293,263,262,369/6,746,547
  6. Step 6: Final answer
    x = 31,466,950.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.