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Finding the Third Proportional to 849,774,349.79 and 1,828,688,902.45

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Solution

The third proportional to 849,774,349.79 and 1,828,688,902.45 is: 3,935,283,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,774,349.79 : 1,828,688,902.45 = 1,828,688,902.45 : x
  2. Step 2: Convert to fraction form
    849,774,349.79/1,828,688,902.45 = 1,828,688,902.45/x
  3. Step 3: Cross multiply
    849,774,349.79x = 1,828,688,902.45 × 1,828,688,902.45
  4. Step 4: Simplify right side
    849,774,349.79x = 3,344,103,101,955,489,792
  5. Step 5: Solve for x
    x = 3,344,103,101,955,489,792/849,774,349.79
  6. Step 6: Final answer
    x = 3,935,283,646.50

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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.