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Finding the Third Proportional to 215,909,004 and 470,153,688

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Solution

The third proportional to 215,909,004 and 470,153,688 is: 1,023,785,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,909,004 : 470,153,688 = 470,153,688 : x
  2. Step 2: Convert to fraction form
    215,909,004/470,153,688 = 470,153,688/x
  3. Step 3: Cross multiply
    215,909,004x = 470,153,688 × 470,153,688
  4. Step 4: Simplify right side
    215,909,004x = 221,044,490,340,001,344
  5. Step 5: Solve for x
    x = 221,044,490,340,001,344/215,909,004
  6. Step 6: Final answer
    x = 1,023,785,419.99

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