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Finding the Third Proportional to 1,133,656,167,594 and 2,498,387,564,433

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Solution

The third proportional to 1,133,656,167,594 and 2,498,387,564,433 is: 5,506,026,077,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,656,167,594 : 2,498,387,564,433 = 2,498,387,564,433 : x
  2. Step 2: Convert to fraction form
    1,133,656,167,594/2,498,387,564,433 = 2,498,387,564,433/x
  3. Step 3: Cross multiply
    1,133,656,167,594x = 2,498,387,564,433 × 2,498,387,564,433
  4. Step 4: Simplify right side
    1,133,656,167,594x = 6,241,940,422,113,457,516,576,768
  5. Step 5: Solve for x
    x = 6,241,940,422,113,457,516,576,768/1,133,656,167,594
  6. Step 6: Final answer
    x = 5,506,026,077,872.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.