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Finding the Third Proportional to 5,781,411,705,483 and 8,746,596,120,541.50

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Solution

The third proportional to 5,781,411,705,483 and 8,746,596,120,541.50 is: 13,232,571,488,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,411,705,483 : 8,746,596,120,541.50 = 8,746,596,120,541.50 : x
  2. Step 2: Convert to fraction form
    5,781,411,705,483/8,746,596,120,541.50 = 8,746,596,120,541.50/x
  3. Step 3: Cross multiply
    5,781,411,705,483x = 8,746,596,120,541.50 × 8,746,596,120,541.50
  4. Step 4: Simplify right side
    5,781,411,705,483x = 76,502,943,695,871,615,126,470,656
  5. Step 5: Solve for x
    x = 76,502,943,695,871,615,126,470,656/5,781,411,705,483
  6. Step 6: Final answer
    x = 13,232,571,488,260.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.