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Finding the Third Proportional to 452,586,258 and 977,291,028

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Solution

The third proportional to 452,586,258 and 977,291,028 is: 2,110,310,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,586,258 : 977,291,028 = 977,291,028 : x
  2. Step 2: Convert to fraction form
    452,586,258/977,291,028 = 977,291,028/x
  3. Step 3: Cross multiply
    452,586,258x = 977,291,028 × 977,291,028
  4. Step 4: Simplify right side
    452,586,258x = 955,097,753,409,296,768
  5. Step 5: Solve for x
    x = 955,097,753,409,296,768/452,586,258
  6. Step 6: Final answer
    x = 2,110,310,988.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.