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Finding the Third Proportional to 286,925,670 and 613,742,220

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Solution

The third proportional to 286,925,670 and 613,742,220 is: 1,312,812,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,925,670 : 613,742,220 = 613,742,220 : x
  2. Step 2: Convert to fraction form
    286,925,670/613,742,220 = 613,742,220/x
  3. Step 3: Cross multiply
    286,925,670x = 613,742,220 × 613,742,220
  4. Step 4: Simplify right side
    286,925,670x = 376,679,512,610,528,384
  5. Step 5: Solve for x
    x = 376,679,512,610,528,384/286,925,670
  6. Step 6: Final answer
    x = 1,312,812,174.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.