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Finding the Third Proportional to 760,047,216 and 1,636,716,207

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Solution

The third proportional to 760,047,216 and 1,636,716,207 is: 3,524,570,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,047,216 : 1,636,716,207 = 1,636,716,207 : x
  2. Step 2: Convert to fraction form
    760,047,216/1,636,716,207 = 1,636,716,207/x
  3. Step 3: Cross multiply
    760,047,216x = 1,636,716,207 × 1,636,716,207
  4. Step 4: Simplify right side
    760,047,216x = 2,678,839,942,256,466,944
  5. Step 5: Solve for x
    x = 2,678,839,942,256,466,944/760,047,216
  6. Step 6: Final answer
    x = 3,524,570,429.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.