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Finding the Third Proportional to 360,034,018 and 785,484,770

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Solution

The third proportional to 360,034,018 and 785,484,770 is: 1,713,688,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,018 : 785,484,770 = 785,484,770 : x
  2. Step 2: Convert to fraction form
    360,034,018/785,484,770 = 785,484,770/x
  3. Step 3: Cross multiply
    360,034,018x = 785,484,770 × 785,484,770
  4. Step 4: Simplify right side
    360,034,018x = 616,986,323,901,952,896
  5. Step 5: Solve for x
    x = 616,986,323,901,952,896/360,034,018
  6. Step 6: Final answer
    x = 1,713,688,965.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.