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Finding the Third Proportional to 559,155,210.75 and 875,238,220.13

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Solution

The third proportional to 559,155,210.75 and 875,238,220.13 is: 1,369,998,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,155,210.75 : 875,238,220.13 = 875,238,220.13 : x
  2. Step 2: Convert to fraction form
    559,155,210.75/875,238,220.13 = 875,238,220.13/x
  3. Step 3: Cross multiply
    559,155,210.75x = 875,238,220.13 × 875,238,220.13
  4. Step 4: Simplify right side
    559,155,210.75x = 766,041,941,967,577,984
  5. Step 5: Solve for x
    x = 766,041,941,967,577,984/559,155,210.75
  6. Step 6: Final answer
    x = 1,369,998,753.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.